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Finding the Fourth Proportional to 71,468.20, 107,207.46 and 18,877

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Solution

The fourth proportional to 71,468.20, 107,207.46 and 18,877 is: 28,316.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,468.20 : 107,207.46 = 18,877 : x
  2. Step 2: Convert to fraction form
    71,468.20/107,207.46 = 18,877/x
  3. Step 3: Cross multiply
    71,468.20x = 107,207.46 × 18,877
  4. Step 4: Simplify right side
    71,468.20x = 2,023,755,222.42
  5. Step 5: Solve for x
    x = 2,023,755,222.42/71,468.20
  6. Step 6: Final answer
    x = 28,316.86

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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.