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Finding the Fourth Proportional to 71,356.80, 106,932.80 and 52,489.60

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Solution

The fourth proportional to 71,356.80, 106,932.80 and 52,489.60 is: 78,659.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,356.80 : 106,932.80 = 52,489.60 : x
  2. Step 2: Convert to fraction form
    71,356.80/106,932.80 = 52,489.60/x
  3. Step 3: Cross multiply
    71,356.80x = 106,932.80 × 52,489.60
  4. Step 4: Simplify right side
    71,356.80x = 5,612,859,898.88
  5. Step 5: Solve for x
    x = 5,612,859,898.88/71,356.80
  6. Step 6: Final answer
    x = 78,659.08

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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.