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Finding the Fourth Proportional to 71,677.89, 98,918.03 and 39,414.96

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Solution

The fourth proportional to 71,677.89, 98,918.03 and 39,414.96 is: 54,394.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,677.89 : 98,918.03 = 39,414.96 : x
  2. Step 2: Convert to fraction form
    71,677.89/98,918.03 = 39,414.96/x
  3. Step 3: Cross multiply
    71,677.89x = 98,918.03 × 39,414.96
  4. Step 4: Simplify right side
    71,677.89x = 3,898,850,195.73
  5. Step 5: Solve for x
    x = 3,898,850,195.73/71,677.89
  6. Step 6: Final answer
    x = 54,394.04

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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.