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Finding the Fourth Proportional to 82,638, 123,976.44 and 27,234

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Solution

The fourth proportional to 82,638, 123,976.44 and 27,234 is: 40,857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,638 : 123,976.44 = 27,234 : x
  2. Step 2: Convert to fraction form
    82,638/123,976.44 = 27,234/x
  3. Step 3: Cross multiply
    82,638x = 123,976.44 × 27,234
  4. Step 4: Simplify right side
    82,638x = 3,376,374,366.96
  5. Step 5: Solve for x
    x = 3,376,374,366.96/82,638
  6. Step 6: Final answer
    x = 40,857.41

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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.