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Finding the Fourth Proportional to 57,413.92, 86,068.98 and 20,469.28

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Solution

The fourth proportional to 57,413.92, 86,068.98 and 20,469.28 is: 30,685.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,413.92 : 86,068.98 = 20,469.28 : x
  2. Step 2: Convert to fraction form
    57,413.92/86,068.98 = 20,469.28/x
  3. Step 3: Cross multiply
    57,413.92x = 86,068.98 × 20,469.28
  4. Step 4: Simplify right side
    57,413.92x = 1,761,770,050.93
  5. Step 5: Solve for x
    x = 1,761,770,050.93/57,413.92
  6. Step 6: Final answer
    x = 30,685.42

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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.