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Finding the Fourth Proportional to 137,873.92, 206,175.98 and 131,147.87

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Solution

The fourth proportional to 137,873.92, 206,175.98 and 131,147.87 is: 196,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,873.92 : 206,175.98 = 131,147.87 : x
  2. Step 2: Convert to fraction form
    137,873.92/206,175.98 = 131,147.87/x
  3. Step 3: Cross multiply
    137,873.92x = 206,175.98 × 131,147.87
  4. Step 4: Simplify right side
    137,873.92x = 27,039,540,622.16
  5. Step 5: Solve for x
    x = 27,039,540,622.16/137,873.92
  6. Step 6: Final answer
    x = 196,117.88

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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.