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Finding the Fourth Proportional to 206,413.20, 309,546.90 and 73,297.80

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Solution

The fourth proportional to 206,413.20, 309,546.90 and 73,297.80 is: 109,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,413.20 : 309,546.90 = 73,297.80 : x
  2. Step 2: Convert to fraction form
    206,413.20/309,546.90 = 73,297.80/x
  3. Step 3: Cross multiply
    206,413.20x = 309,546.90 × 73,297.80
  4. Step 4: Simplify right side
    206,413.20x = 22,689,106,766.82
  5. Step 5: Solve for x
    x = 22,689,106,766.82/206,413.20
  6. Step 6: Final answer
    x = 109,920.81

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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.