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Finding the Fourth Proportional to 252,844.80, 379,288.92 and 65,856

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Solution

The fourth proportional to 252,844.80, 379,288.92 and 65,856 is: 98,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,844.80 : 379,288.92 = 65,856 : x
  2. Step 2: Convert to fraction form
    252,844.80/379,288.92 = 65,856/x
  3. Step 3: Cross multiply
    252,844.80x = 379,288.92 × 65,856
  4. Step 4: Simplify right side
    252,844.80x = 24,978,451,115.52
  5. Step 5: Solve for x
    x = 24,978,451,115.52/252,844.80
  6. Step 6: Final answer
    x = 98,789.66

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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.