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Finding the Fourth Proportional to 82,408.29, 123,612.43 and 29,805.47

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Solution

The fourth proportional to 82,408.29, 123,612.43 and 29,805.47 is: 44,708.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,408.29 : 123,612.43 = 29,805.47 : x
  2. Step 2: Convert to fraction form
    82,408.29/123,612.43 = 29,805.47/x
  3. Step 3: Cross multiply
    82,408.29x = 123,612.43 × 29,805.47
  4. Step 4: Simplify right side
    82,408.29x = 3,684,326,400.85
  5. Step 5: Solve for x
    x = 3,684,326,400.85/82,408.29
  6. Step 6: Final answer
    x = 44,708.20

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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.