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Finding the Fourth Proportional to 138,717.70, 208,078.31 and 48,756.78

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Solution

The fourth proportional to 138,717.70, 208,078.31 and 48,756.78 is: 73,135.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,717.70 : 208,078.31 = 48,756.78 : x
  2. Step 2: Convert to fraction form
    138,717.70/208,078.31 = 48,756.78/x
  3. Step 3: Cross multiply
    138,717.70x = 208,078.31 × 48,756.78
  4. Step 4: Simplify right side
    138,717.70x = 10,145,228,505.33
  5. Step 5: Solve for x
    x = 10,145,228,505.33/138,717.70
  6. Step 6: Final answer
    x = 73,135.79

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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.