I have a ge refrigerator model gsh22kgpcww and when I use the water dispenser in the door no water comes out but water comes out the bottom of the frige by the floor. When I checked it out i noticed that there is a blue connector that is leaking. I need the part number so I can fix it. Is this a common problem.

Refrigerator Water Tube Assembly part 4388152 How To Replace

Replacing water tank and lines on GE side by side refrigerator

I have seen this before and replacing the mother board in the rear of the refrigerator salved the problem.
Mother Board part# wr55x10942
http://www.on-timeappliance.com/refrigeratorrepair.html

Generally, the path to the water dispenser is as follows: water comes in from the wall, goes through a solenoid (valve), and through some tubing to a reservoir behind the fruit and vegetable compartments. From that reservoir, more tubing goes down under the refrigerator, then up near the bottom of the door hinge of the door that has the water dispenser.

First, listen for if there is a water running sound when you try to use the water dispenser. If there is not, then most likely there is no water coming from the supply at the wall, or the main solenoid where the water comes in is not working. If ice is being dispensed, you know that the switch that you press with your cup is good, but that doesn't mean that water is coming in to make new ice. It could be just existing ice being dispensed.

If you DO hear a water running sound, then something is leaking, possibly onto your floor. Follow the path of the water in the first paragraph to locate the leak. Could be that some tubing came off, or burst.

The defrost drain line in the freezer is stopped up.
You will have to remove all food and turn the refrigerator off for 24 hours to let the drain line defrost.

If this is a newer model GE side by side refrigerator, this is not uncommon. what you can do to check to see what is going wrong, remove the toe plate at the bottom front of the unit. Under the freezer door, you will see a white plastic water line, with an inline connector about 4-5" from where the line comes out the bottom of the door. this is normally a blue push-in type connector. On this connector, you will see two white sleeves on either side, push in on this sleeve while pulling the corresponding water line section out of the connector, if you squeeze the sleeve enough, the water line will slip right out. Place a towel on the floor, make sure both ends are on top of towel. Now, breifly actuate your water dispenser trigger, see if water comes out the exposed water line. If water comes out, your entire water dispenser system is OK, but, the water line in the freezer door is frozen, in which case the only way to melt it, is to turn the unit off, open the freezer door, and blow a fan for a few hours, to melt the ice INSIDE the door. You could also buy a new door, but that is very costly.
If no water comes out the exposed water line, then either your water filter is clogged, or you have a bad water valve solenoid

Then the line in the door is frozen . Either raise the freezer temp for several days , so the line in the door will thaw , or , I have heard using an air tank will blow the ice out of the line in the door . There is a heater for the water dispensor tube , pt # WR49X10173 , which should keep this from happening again .

Water line may be frozen right where it enters the ice maker. Or the water valve may not be working.

It is possible the water line inside the freezer door froze . Remove the bottom kick plate and follow the white tubing about 6" to a coupling . Push in on the white ring and at the same time , pullout on the tubing . Push the water dispensor , and if water comes out of the hose going under the fridge , this means the line is frozen in the door . If no water comes out , it means the water tank at the bottom of the fridge section (behind crispers ) is probably frozen . A hair dryer should work on the tank , but , a different procedure will be needed to thaw the door . Come back if door is frozen for the procedure .

Disconnect the water line where it comes out of the water inlet valve and see how the flow is when you try the dispenser. Disconntct the water line at the bottom of the freezer door where it goes into the door. If it flows good here it may be freezing in the door. Open the door till it thaws.
If it's good at the inlet valve and slow at the door, some models have a way to put a plug in and bypass the filter.

Alot of the GE refrigerators have problems like this. You either need to replace water valve on the back because one of the valves has stopped working OR the tube in the door has frozen and the door will need to be replaced. The best way to tell is remove the hinge cap on the bottom hinge and disconnect the little adapter put a towel down there and then trigger the water dispenser. If water comes out, the tube is frozen in the door. If not, replace the valve.