There are cheap three light Bathroom Light Fixtures on EBay. You get four of them for only about $22 including shipping! They are missing the globes but I have some extra globes laying around. I needed 2 of them for my bathrooms but used a third for the kitchen. I took that one apart and removed the arms so the fixtures fastened onto the back plate.
Above is the old fixture and below is a picture of one of the new fixtures. I was short a few light bulbs at the time that I took the photographs.