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Finding the Fourth Proportional to 71,517.72, 98,693.20 and 39,686.08

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Solution

The fourth proportional to 71,517.72, 98,693.20 and 39,686.08 is: 54,766.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,517.72 : 98,693.20 = 39,686.08 : x
  2. Step 2: Convert to fraction form
    71,517.72/98,693.20 = 39,686.08/x
  3. Step 3: Cross multiply
    71,517.72x = 98,693.20 × 39,686.08
  4. Step 4: Simplify right side
    71,517.72x = 3,916,746,230.66
  5. Step 5: Solve for x
    x = 3,916,746,230.66/71,517.72
  6. Step 6: Final answer
    x = 54,766.09

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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.