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Finding the Fourth Proportional to 194,286.92, 268,120.50 and 108,251.69

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Solution

The fourth proportional to 194,286.92, 268,120.50 and 108,251.69 is: 149,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,286.92 : 268,120.50 = 108,251.69 : x
  2. Step 2: Convert to fraction form
    194,286.92/268,120.50 = 108,251.69/x
  3. Step 3: Cross multiply
    194,286.92x = 268,120.50 × 108,251.69
  4. Step 4: Simplify right side
    194,286.92x = 29,024,497,248.65
  5. Step 5: Solve for x
    x = 29,024,497,248.65/194,286.92
  6. Step 6: Final answer
    x = 149,389.87

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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.