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Finding the Fourth Proportional to 142,318.64, 213,489.96 and 42,472.40

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Solution

The fourth proportional to 142,318.64, 213,489.96 and 42,472.40 is: 63,712.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,318.64 : 213,489.96 = 42,472.40 : x
  2. Step 2: Convert to fraction form
    142,318.64/213,489.96 = 42,472.40/x
  3. Step 3: Cross multiply
    142,318.64x = 213,489.96 × 42,472.40
  4. Step 4: Simplify right side
    142,318.64x = 9,067,430,977.10
  5. Step 5: Solve for x
    x = 9,067,430,977.10/142,318.64
  6. Step 6: Final answer
    x = 63,712.18

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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.