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Finding the Fourth Proportional to 71,560.96, 107,385.12 and 45,229.44

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Solution

The fourth proportional to 71,560.96, 107,385.12 and 45,229.44 is: 67,871.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,560.96 : 107,385.12 = 45,229.44 : x
  2. Step 2: Convert to fraction form
    71,560.96/107,385.12 = 45,229.44/x
  3. Step 3: Cross multiply
    71,560.96x = 107,385.12 × 45,229.44
  4. Step 4: Simplify right side
    71,560.96x = 4,856,968,841.93
  5. Step 5: Solve for x
    x = 4,856,968,841.93/71,560.96
  6. Step 6: Final answer
    x = 67,871.77

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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.