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Finding the Fourth Proportional to 71,717.14, 98,966.61 and 39,449.71

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Solution

The fourth proportional to 71,717.14, 98,966.61 and 39,449.71 is: 54,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,717.14 : 98,966.61 = 39,449.71 : x
  2. Step 2: Convert to fraction form
    71,717.14/98,966.61 = 39,449.71/x
  3. Step 3: Cross multiply
    71,717.14x = 98,966.61 × 39,449.71
  4. Step 4: Simplify right side
    71,717.14x = 3,904,204,187.89
  5. Step 5: Solve for x
    x = 3,904,204,187.89/71,717.14
  6. Step 6: Final answer
    x = 54,438.93

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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.