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Finding the Fourth Proportional to 71,487.82, 107,231.01 and 18,179.92

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Solution

The fourth proportional to 71,487.82, 107,231.01 and 18,179.92 is: 27,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,487.82 : 107,231.01 = 18,179.92 : x
  2. Step 2: Convert to fraction form
    71,487.82/107,231.01 = 18,179.92/x
  3. Step 3: Cross multiply
    71,487.82x = 107,231.01 × 18,179.92
  4. Step 4: Simplify right side
    71,487.82x = 1,949,451,183.32
  5. Step 5: Solve for x
    x = 1,949,451,183.32/71,487.82
  6. Step 6: Final answer
    x = 27,269.70

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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.