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Finding the Fourth Proportional to 179,458.44, 269,189.76 and 76,861.92

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Solution

The fourth proportional to 179,458.44, 269,189.76 and 76,861.92 is: 115,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,458.44 : 269,189.76 = 76,861.92 : x
  2. Step 2: Convert to fraction form
    179,458.44/269,189.76 = 76,861.92/x
  3. Step 3: Cross multiply
    179,458.44x = 269,189.76 × 76,861.92
  4. Step 4: Simplify right side
    179,458.44x = 20,690,441,797.94
  5. Step 5: Solve for x
    x = 20,690,441,797.94/179,458.44
  6. Step 6: Final answer
    x = 115,293.78

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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.