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Finding the Fourth Proportional to 281,691.75, 422,553.02 and 71,331.51

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Solution

The fourth proportional to 281,691.75, 422,553.02 and 71,331.51 is: 107,001.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,691.75 : 422,553.02 = 71,331.51 : x
  2. Step 2: Convert to fraction form
    281,691.75/422,553.02 = 71,331.51/x
  3. Step 3: Cross multiply
    281,691.75x = 422,553.02 × 71,331.51
  4. Step 4: Simplify right side
    281,691.75x = 30,141,344,971.66
  5. Step 5: Solve for x
    x = 30,141,344,971.66/281,691.75
  6. Step 6: Final answer
    x = 107,001.16

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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.