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Finding the Fourth Proportional to 144,758.52, 199,766.78 and 80,231.92

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Solution

The fourth proportional to 144,758.52, 199,766.78 and 80,231.92 is: 110,720.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,758.52 : 199,766.78 = 80,231.92 : x
  2. Step 2: Convert to fraction form
    144,758.52/199,766.78 = 80,231.92/x
  3. Step 3: Cross multiply
    144,758.52x = 199,766.78 × 80,231.92
  4. Step 4: Simplify right side
    144,758.52x = 16,027,672,311.62
  5. Step 5: Solve for x
    x = 16,027,672,311.62/144,758.52
  6. Step 6: Final answer
    x = 110,720.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.