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Finding the Fourth Proportional to 138,588.48, 207,960.66 and 75,413.19

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Solution

The fourth proportional to 138,588.48, 207,960.66 and 75,413.19 is: 113,162.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,588.48 : 207,960.66 = 75,413.19 : x
  2. Step 2: Convert to fraction form
    138,588.48/207,960.66 = 75,413.19/x
  3. Step 3: Cross multiply
    138,588.48x = 207,960.66 × 75,413.19
  4. Step 4: Simplify right side
    138,588.48x = 15,682,976,765.11
  5. Step 5: Solve for x
    x = 15,682,976,765.11/138,588.48
  6. Step 6: Final answer
    x = 113,162.20

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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.