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Finding the Fourth Proportional to 137,951.30, 206,817.60 and 75,621.80

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Solution

The fourth proportional to 137,951.30, 206,817.60 and 75,621.80 is: 113,372.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,951.30 : 206,817.60 = 75,621.80 : x
  2. Step 2: Convert to fraction form
    137,951.30/206,817.60 = 75,621.80/x
  3. Step 3: Cross multiply
    137,951.30x = 206,817.60 × 75,621.80
  4. Step 4: Simplify right side
    137,951.30x = 15,639,919,183.68
  5. Step 5: Solve for x
    x = 15,639,919,183.68/137,951.30
  6. Step 6: Final answer
    x = 113,372.76

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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.