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Finding the Fourth Proportional to 281,757.27, 422,705.11 and 82,079.41

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Solution

The fourth proportional to 281,757.27, 422,705.11 and 82,079.41 is: 123,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,757.27 : 422,705.11 = 82,079.41 : x
  2. Step 2: Convert to fraction form
    281,757.27/422,705.11 = 82,079.41/x
  3. Step 3: Cross multiply
    281,757.27x = 422,705.11 × 82,079.41
  4. Step 4: Simplify right side
    281,757.27x = 34,695,386,032.79
  5. Step 5: Solve for x
    x = 34,695,386,032.79/281,757.27
  6. Step 6: Final answer
    x = 123,139.28

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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.