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Finding the Fourth Proportional to 138,253.68, 207,380.42 and 38,413.83

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Solution

The fourth proportional to 138,253.68, 207,380.42 and 38,413.83 is: 57,620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,253.68 : 207,380.42 = 38,413.83 : x
  2. Step 2: Convert to fraction form
    138,253.68/207,380.42 = 38,413.83/x
  3. Step 3: Cross multiply
    138,253.68x = 207,380.42 × 38,413.83
  4. Step 4: Simplify right side
    138,253.68x = 7,966,275,179.10
  5. Step 5: Solve for x
    x = 7,966,275,179.10/138,253.68
  6. Step 6: Final answer
    x = 57,620.71

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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.