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Finding the Fourth Proportional to 138,717.85, 207,951.81 and 49,908.87

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Solution

The fourth proportional to 138,717.85, 207,951.81 and 49,908.87 is: 74,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,717.85 : 207,951.81 = 49,908.87 : x
  2. Step 2: Convert to fraction form
    138,717.85/207,951.81 = 49,908.87/x
  3. Step 3: Cross multiply
    138,717.85x = 207,951.81 × 49,908.87
  4. Step 4: Simplify right side
    138,717.85x = 10,378,639,500.64
  5. Step 5: Solve for x
    x = 10,378,639,500.64/138,717.85
  6. Step 6: Final answer
    x = 74,818.34

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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.