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Finding the Fourth Proportional to 71,905.80, 99,229.68 and 41,708.64

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Solution

The fourth proportional to 71,905.80, 99,229.68 and 41,708.64 is: 57,557.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,905.80 : 99,229.68 = 41,708.64 : x
  2. Step 2: Convert to fraction form
    71,905.80/99,229.68 = 41,708.64/x
  3. Step 3: Cross multiply
    71,905.80x = 99,229.68 × 41,708.64
  4. Step 4: Simplify right side
    71,905.80x = 4,138,735,000.44
  5. Step 5: Solve for x
    x = 4,138,735,000.44/71,905.80
  6. Step 6: Final answer
    x = 57,557.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.