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Finding the Fourth Proportional to 142,793.61, 213,956.74 and 86,463.10

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Solution

The fourth proportional to 142,793.61, 213,956.74 and 86,463.10 is: 129,553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,793.61 : 213,956.74 = 86,463.10 : x
  2. Step 2: Convert to fraction form
    142,793.61/213,956.74 = 86,463.10/x
  3. Step 3: Cross multiply
    142,793.61x = 213,956.74 × 86,463.10
  4. Step 4: Simplify right side
    142,793.61x = 18,499,363,006.29
  5. Step 5: Solve for x
    x = 18,499,363,006.29/142,793.61
  6. Step 6: Final answer
    x = 129,553.16

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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.