here's the webmd description of pneumonia: "pneumonia is an infection of the lungs caused by a virus. symptoms of pneumonia differ by the cause but some symptoms include chills fever fatigue chest pain sore throat and coughing. " so it seems to me that it wouldn't take much for your inner ear to be affected and that can really mess up your balance. also consider that pneumonia affects your lungs and lack of oxygen can make you feel dizzy too.
is loss of balance ever associated with pneumonia? . not as much as falling down but having to be very careful in sudden moves and feeling that a fall is very close.