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Finding the Fourth Proportional to 206,280.68, 309,708.46 and 106,512.86

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Solution

The fourth proportional to 206,280.68, 309,708.46 and 106,512.86 is: 159,917.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,280.68 : 309,708.46 = 106,512.86 : x
  2. Step 2: Convert to fraction form
    206,280.68/309,708.46 = 106,512.86/x
  3. Step 3: Cross multiply
    206,280.68x = 309,708.46 × 106,512.86
  4. Step 4: Simplify right side
    206,280.68x = 32,987,933,840.80
  5. Step 5: Solve for x
    x = 32,987,933,840.80/206,280.68
  6. Step 6: Final answer
    x = 159,917.71

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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.