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Finding the Fourth Proportional to 83,781.43, 125,761.67 and 33,894.14

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Solution

The fourth proportional to 83,781.43, 125,761.67 and 33,894.14 is: 50,877.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,781.43 : 125,761.67 = 33,894.14 : x
  2. Step 2: Convert to fraction form
    83,781.43/125,761.67 = 33,894.14/x
  3. Step 3: Cross multiply
    83,781.43x = 125,761.67 × 33,894.14
  4. Step 4: Simplify right side
    83,781.43x = 4,262,582,978.44
  5. Step 5: Solve for x
    x = 4,262,582,978.44/83,781.43
  6. Step 6: Final answer
    x = 50,877.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.