Finding the Fourth Proportional to 82.34, 123.50 and 27.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82.34 : 123.50 = 27.50 : x
2. Step 2: Convert to fraction form
   82.34/123.50 = 27.50/x
3. Step 3: Cross multiply
   82.34x = 123.50 × 27.50
4. Step 4: Simplify right side
   82.34x = 3,395.50
5. Step 5: Solve for x
   x = 3,395.50/82.34
6. Step 6: Final answer
   x = 41.24