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Finding the Fourth Proportional to 278,557.93, 417,832.12 and 89,016.91

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Solution

The fourth proportional to 278,557.93, 417,832.12 and 89,016.91 is: 133,523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,557.93 : 417,832.12 = 89,016.91 : x
  2. Step 2: Convert to fraction form
    278,557.93/417,832.12 = 89,016.91/x
  3. Step 3: Cross multiply
    278,557.93x = 417,832.12 × 89,016.91
  4. Step 4: Simplify right side
    278,557.93x = 37,194,124,221.15
  5. Step 5: Solve for x
    x = 37,194,124,221.15/278,557.93
  6. Step 6: Final answer
    x = 133,523.84

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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.