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Finding the Fourth Proportional to 142,654.20, 214,134.90 and 80,446.20

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Solution

The fourth proportional to 142,654.20, 214,134.90 and 80,446.20 is: 120,755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,654.20 : 214,134.90 = 80,446.20 : x
  2. Step 2: Convert to fraction form
    142,654.20/214,134.90 = 80,446.20/x
  3. Step 3: Cross multiply
    142,654.20x = 214,134.90 × 80,446.20
  4. Step 4: Simplify right side
    142,654.20x = 17,226,338,992.38
  5. Step 5: Solve for x
    x = 17,226,338,992.38/142,654.20
  6. Step 6: Final answer
    x = 120,755.92

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1.5x scale

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.