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Finding the Fourth Proportional to 71,517.84, 98,701.92 and 39,686.96

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Solution

The fourth proportional to 71,517.84, 98,701.92 and 39,686.96 is: 54,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,517.84 : 98,701.92 = 39,686.96 : x
  2. Step 2: Convert to fraction form
    71,517.84/98,701.92 = 39,686.96/x
  3. Step 3: Cross multiply
    71,517.84x = 98,701.92 × 39,686.96
  4. Step 4: Simplify right side
    71,517.84x = 3,917,179,150.96
  5. Step 5: Solve for x
    x = 3,917,179,150.96/71,517.84
  6. Step 6: Final answer
    x = 54,772.06

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1.5x scale

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.