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Finding the Fourth Proportional to 135,458.91, 186,936.10 and 81,067.31

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Solution

The fourth proportional to 135,458.91, 186,936.10 and 81,067.31 is: 111,874.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,458.91 : 186,936.10 = 81,067.31 : x
  2. Step 2: Convert to fraction form
    135,458.91/186,936.10 = 81,067.31/x
  3. Step 3: Cross multiply
    135,458.91x = 186,936.10 × 81,067.31
  4. Step 4: Simplify right side
    135,458.91x = 15,154,406,262.80
  5. Step 5: Solve for x
    x = 15,154,406,262.80/135,458.91
  6. Step 6: Final answer
    x = 111,874.56

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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.