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Finding the Fourth Proportional to 206,473.14, 309,680.55 and 66,213.54

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Solution

The fourth proportional to 206,473.14, 309,680.55 and 66,213.54 is: 99,310.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,473.14 : 309,680.55 = 66,213.54 : x
  2. Step 2: Convert to fraction form
    206,473.14/309,680.55 = 66,213.54/x
  3. Step 3: Cross multiply
    206,473.14x = 309,680.55 × 66,213.54
  4. Step 4: Simplify right side
    206,473.14x = 20,505,045,484.65
  5. Step 5: Solve for x
    x = 20,505,045,484.65/206,473.14
  6. Step 6: Final answer
    x = 99,310.96

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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.