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Finding the Fourth Proportional to 206,170.90, 309,213.15 and 101,065.30

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Solution

The fourth proportional to 206,170.90, 309,213.15 and 101,065.30 is: 151,576.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,170.90 : 309,213.15 = 101,065.30 : x
  2. Step 2: Convert to fraction form
    206,170.90/309,213.15 = 101,065.30/x
  3. Step 3: Cross multiply
    206,170.90x = 309,213.15 × 101,065.30
  4. Step 4: Simplify right side
    206,170.90x = 31,250,719,768.70
  5. Step 5: Solve for x
    x = 31,250,719,768.70/206,170.90
  6. Step 6: Final answer
    x = 151,576.77

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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.