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Finding the Fourth Proportional to 142,372.80, 213,494.40 and 63,446.40

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Solution

The fourth proportional to 142,372.80, 213,494.40 and 63,446.40 is: 95,140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,372.80 : 213,494.40 = 63,446.40 : x
  2. Step 2: Convert to fraction form
    142,372.80/213,494.40 = 63,446.40/x
  3. Step 3: Cross multiply
    142,372.80x = 213,494.40 × 63,446.40
  4. Step 4: Simplify right side
    142,372.80x = 13,545,451,100.16
  5. Step 5: Solve for x
    x = 13,545,451,100.16/142,372.80
  6. Step 6: Final answer
    x = 95,140.72

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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.