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Finding the Fourth Proportional to 281,873.13, 422,764.67 and 82,146.78

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Solution

The fourth proportional to 281,873.13, 422,764.67 and 82,146.78 is: 123,207.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,873.13 : 422,764.67 = 82,146.78 : x
  2. Step 2: Convert to fraction form
    281,873.13/422,764.67 = 82,146.78/x
  3. Step 3: Cross multiply
    281,873.13x = 422,764.67 × 82,146.78
  4. Step 4: Simplify right side
    281,873.13x = 34,728,755,927.53
  5. Step 5: Solve for x
    x = 34,728,755,927.53/281,873.13
  6. Step 6: Final answer
    x = 123,207.05

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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.