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Finding the Fourth Proportional to 86,535.92, 129,862.20 and 39,163.88

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Solution

The fourth proportional to 86,535.92, 129,862.20 and 39,163.88 is: 58,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,535.92 : 129,862.20 = 39,163.88 : x
  2. Step 2: Convert to fraction form
    86,535.92/129,862.20 = 39,163.88/x
  3. Step 3: Cross multiply
    86,535.92x = 129,862.20 × 39,163.88
  4. Step 4: Simplify right side
    86,535.92x = 5,085,907,617.34
  5. Step 5: Solve for x
    x = 5,085,907,617.34/86,535.92
  6. Step 6: Final answer
    x = 58,772.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.