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Finding the Fourth Proportional to 206,843.92, 310,359.46 and 105,589.66

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Solution

The fourth proportional to 206,843.92, 310,359.46 and 105,589.66 is: 158,432.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,843.92 : 310,359.46 = 105,589.66 : x
  2. Step 2: Convert to fraction form
    206,843.92/310,359.46 = 105,589.66/x
  3. Step 3: Cross multiply
    206,843.92x = 310,359.46 × 105,589.66
  4. Step 4: Simplify right side
    206,843.92x = 32,770,749,859.18
  5. Step 5: Solve for x
    x = 32,770,749,859.18/206,843.92
  6. Step 6: Final answer
    x = 158,432.26

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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.