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Finding the Fourth Proportional to 206,255.68, 309,670.86 and 106,487.78

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Solution

The fourth proportional to 206,255.68, 309,670.86 and 106,487.78 is: 159,880.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,255.68 : 309,670.86 = 106,487.78 : x
  2. Step 2: Convert to fraction form
    206,255.68/309,670.86 = 106,487.78/x
  3. Step 3: Cross multiply
    206,255.68x = 309,670.86 × 106,487.78
  4. Step 4: Simplify right side
    206,255.68x = 32,976,162,412.09
  5. Step 5: Solve for x
    x = 32,976,162,412.09/206,255.68
  6. Step 6: Final answer
    x = 159,880.02

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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.