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Finding the Fourth Proportional to 146,951.57, 220,489.77 and 80,313.85

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Solution

The fourth proportional to 146,951.57, 220,489.77 and 80,313.85 is: 120,504.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,951.57 : 220,489.77 = 80,313.85 : x
  2. Step 2: Convert to fraction form
    146,951.57/220,489.77 = 80,313.85/x
  3. Step 3: Cross multiply
    146,951.57x = 220,489.77 × 80,313.85
  4. Step 4: Simplify right side
    146,951.57x = 17,708,381,763.09
  5. Step 5: Solve for x
    x = 17,708,381,763.09/146,951.57
  6. Step 6: Final answer
    x = 120,504.88

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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.