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Finding the Fourth Proportional to 138,413.30, 207,291.90 and 138,413.30

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Solution

The fourth proportional to 138,413.30, 207,291.90 and 138,413.30 is: 207,291.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,413.30 : 207,291.90 = 138,413.30 : x
  2. Step 2: Convert to fraction form
    138,413.30/207,291.90 = 138,413.30/x
  3. Step 3: Cross multiply
    138,413.30x = 207,291.90 × 138,413.30
  4. Step 4: Simplify right side
    138,413.30x = 28,691,955,942.27
  5. Step 5: Solve for x
    x = 28,691,955,942.27/138,413.30
  6. Step 6: Final answer
    x = 207,291.90

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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.