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Finding the Fourth Proportional to 138,301.66, 207,357.72 and 49,553.20

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Solution

The fourth proportional to 138,301.66, 207,357.72 and 49,553.20 is: 74,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,301.66 : 207,357.72 = 49,553.20 : x
  2. Step 2: Convert to fraction form
    138,301.66/207,357.72 = 49,553.20/x
  3. Step 3: Cross multiply
    138,301.66x = 207,357.72 × 49,553.20
  4. Step 4: Simplify right side
    138,301.66x = 10,275,238,570.70
  5. Step 5: Solve for x
    x = 10,275,238,570.70/138,301.66
  6. Step 6: Final answer
    x = 74,295.84

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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.