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Finding the Fourth Proportional to 83,729.60, 125,424.30 and 52,042.40

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Solution

The fourth proportional to 83,729.60, 125,424.30 and 52,042.40 is: 77,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,729.60 : 125,424.30 = 52,042.40 : x
  2. Step 2: Convert to fraction form
    83,729.60/125,424.30 = 52,042.40/x
  3. Step 3: Cross multiply
    83,729.60x = 125,424.30 × 52,042.40
  4. Step 4: Simplify right side
    83,729.60x = 6,527,381,590.32
  5. Step 5: Solve for x
    x = 6,527,381,590.32/83,729.60
  6. Step 6: Final answer
    x = 77,957.87

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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.