Finding the Fourth Proportional to 109,919.50, 164,823.80 and 78,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,919.50 : 164,823.80 = 78,311.50 : x
2. Step 2: Convert to fraction form
   109,919.50/164,823.80 = 78,311.50/x
3. Step 3: Cross multiply
   109,919.50x = 164,823.80 × 78,311.50
4. Step 4: Simplify right side
   109,919.50x = 12,907,598,189.58
5. Step 5: Solve for x
   x = 12,907,598,189.58/109,919.50
6. Step 6: Final answer
   x = 117,427.74