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Finding the Fourth Proportional to 206,413.24, 309,580.86 and 73,288.12

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Solution

The fourth proportional to 206,413.24, 309,580.86 and 73,288.12 is: 109,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,413.24 : 309,580.86 = 73,288.12 : x
  2. Step 2: Convert to fraction form
    206,413.24/309,580.86 = 73,288.12/x
  3. Step 3: Cross multiply
    206,413.24x = 309,580.86 × 73,288.12
  4. Step 4: Simplify right side
    206,413.24x = 22,688,599,217.38
  5. Step 5: Solve for x
    x = 22,688,599,217.38/206,413.24
  6. Step 6: Final answer
    x = 109,918.33

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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.