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Finding the Fourth Proportional to 281,874.13, 422,766.16 and 82,147.78

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Solution

The fourth proportional to 281,874.13, 422,766.16 and 82,147.78 is: 123,208.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,874.13 : 422,766.16 = 82,147.78 : x
  2. Step 2: Convert to fraction form
    281,874.13/422,766.16 = 82,147.78/x
  3. Step 3: Cross multiply
    281,874.13x = 422,766.16 × 82,147.78
  4. Step 4: Simplify right side
    281,874.13x = 34,729,301,503.12
  5. Step 5: Solve for x
    x = 34,729,301,503.12/281,874.13
  6. Step 6: Final answer
    x = 123,208.55

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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.