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Finding the Fourth Proportional to 278,110, 417,177.96 and 81,118

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Solution

The fourth proportional to 278,110, 417,177.96 and 81,118 is: 121,680.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,110 : 417,177.96 = 81,118 : x
  2. Step 2: Convert to fraction form
    278,110/417,177.96 = 81,118/x
  3. Step 3: Cross multiply
    278,110x = 417,177.96 × 81,118
  4. Step 4: Simplify right side
    278,110x = 33,840,641,759.28
  5. Step 5: Solve for x
    x = 33,840,641,759.28/278,110
  6. Step 6: Final answer
    x = 121,680.78

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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.