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Finding the Fourth Proportional to 71,677.20, 107,488.80 and 21,742.68

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Solution

The fourth proportional to 71,677.20, 107,488.80 and 21,742.68 is: 32,605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,677.20 : 107,488.80 = 21,742.68 : x
  2. Step 2: Convert to fraction form
    71,677.20/107,488.80 = 21,742.68/x
  3. Step 3: Cross multiply
    71,677.20x = 107,488.80 × 21,742.68
  4. Step 4: Simplify right side
    71,677.20x = 2,337,094,581.98
  5. Step 5: Solve for x
    x = 2,337,094,581.98/71,677.20
  6. Step 6: Final answer
    x = 32,605.83

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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.