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Finding the Fourth Proportional to 101,998.11, 140,780.24 and 56,691.97

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Solution

The fourth proportional to 101,998.11, 140,780.24 and 56,691.97 is: 78,247.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,998.11 : 140,780.24 = 56,691.97 : x
  2. Step 2: Convert to fraction form
    101,998.11/140,780.24 = 56,691.97/x
  3. Step 3: Cross multiply
    101,998.11x = 140,780.24 × 56,691.97
  4. Step 4: Simplify right side
    101,998.11x = 7,981,109,142.67
  5. Step 5: Solve for x
    x = 7,981,109,142.67/101,998.11
  6. Step 6: Final answer
    x = 78,247.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.