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Finding the Fourth Proportional to 100,808.92, 151,213.17 and 29,781.43

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Solution

The fourth proportional to 100,808.92, 151,213.17 and 29,781.43 is: 44,672.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,808.92 : 151,213.17 = 29,781.43 : x
  2. Step 2: Convert to fraction form
    100,808.92/151,213.17 = 29,781.43/x
  3. Step 3: Cross multiply
    100,808.92x = 151,213.17 × 29,781.43
  4. Step 4: Simplify right side
    100,808.92x = 4,503,344,437.43
  5. Step 5: Solve for x
    x = 4,503,344,437.43/100,808.92
  6. Step 6: Final answer
    x = 44,672.08

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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.