Gallbladder Problems: Gallbladder is a small pear-shaped sac that is located just below the liver, in the upper-right quadrant of the abdomen. One may experience pain under the right rib cage due to cholecystitis.iver Disease: The liver is a large glandular organ that is located just under the ribs on the upper right quadrant of the abdomen. The liver performs various important functions such as production of certain proteins, immune factors and a digestive juice called bile.