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Finding the Fourth Proportional to 206,413.11, 309,606.57 and 73,275.84

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Solution

The fourth proportional to 206,413.11, 309,606.57 and 73,275.84 is: 109,909.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,413.11 : 309,606.57 = 73,275.84 : x
  2. Step 2: Convert to fraction form
    206,413.11/309,606.57 = 73,275.84/x
  3. Step 3: Cross multiply
    206,413.11x = 309,606.57 × 73,275.84
  4. Step 4: Simplify right side
    206,413.11x = 22,686,681,486.27
  5. Step 5: Solve for x
    x = 22,686,681,486.27/206,413.11
  6. Step 6: Final answer
    x = 109,909.11

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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.