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Finding the Fourth Proportional to 86,468.51, 129,691.80 and 27,310.16

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Solution

The fourth proportional to 86,468.51, 129,691.80 and 27,310.16 is: 40,961.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,468.51 : 129,691.80 = 27,310.16 : x
  2. Step 2: Convert to fraction form
    86,468.51/129,691.80 = 27,310.16/x
  3. Step 3: Cross multiply
    86,468.51x = 129,691.80 × 27,310.16
  4. Step 4: Simplify right side
    86,468.51x = 3,541,904,132.92
  5. Step 5: Solve for x
    x = 3,541,904,132.92/86,468.51
  6. Step 6: Final answer
    x = 40,961.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.