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Finding the Fourth Proportional to 181,691.97, 251,019.31 and 138,821.50

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Solution

The fourth proportional to 181,691.97, 251,019.31 and 138,821.50 is: 191,790.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,691.97 : 251,019.31 = 138,821.50 : x
  2. Step 2: Convert to fraction form
    181,691.97/251,019.31 = 138,821.50/x
  3. Step 3: Cross multiply
    181,691.97x = 251,019.31 × 138,821.50
  4. Step 4: Simplify right side
    181,691.97x = 34,846,876,449.06
  5. Step 5: Solve for x
    x = 34,846,876,449.06/181,691.97
  6. Step 6: Final answer
    x = 191,790.96

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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.