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Finding the Fourth Proportional to 149,481.38, 206,284.32 and 82,413.38

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Solution

The fourth proportional to 149,481.38, 206,284.32 and 82,413.38 is: 113,730.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,481.38 : 206,284.32 = 82,413.38 : x
  2. Step 2: Convert to fraction form
    149,481.38/206,284.32 = 82,413.38/x
  3. Step 3: Cross multiply
    149,481.38x = 206,284.32 × 82,413.38
  4. Step 4: Simplify right side
    149,481.38x = 17,000,587,020.78
  5. Step 5: Solve for x
    x = 17,000,587,020.78/149,481.38
  6. Step 6: Final answer
    x = 113,730.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.