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Finding the Fourth Proportional to 137,687.46, 206,198.52 and 78,343.38

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Solution

The fourth proportional to 137,687.46, 206,198.52 and 78,343.38 is: 117,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,687.46 : 206,198.52 = 78,343.38 : x
  2. Step 2: Convert to fraction form
    137,687.46/206,198.52 = 78,343.38/x
  3. Step 3: Cross multiply
    137,687.46x = 206,198.52 × 78,343.38
  4. Step 4: Simplify right side
    137,687.46x = 16,154,289,007.80
  5. Step 5: Solve for x
    x = 16,154,289,007.80/137,687.46
  6. Step 6: Final answer
    x = 117,325.78

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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.