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Finding the Fourth Proportional to 206,065.62, 309,009.33 and 71,143.92

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Solution

The fourth proportional to 206,065.62, 309,009.33 and 71,143.92 is: 106,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,065.62 : 309,009.33 = 71,143.92 : x
  2. Step 2: Convert to fraction form
    206,065.62/309,009.33 = 71,143.92/x
  3. Step 3: Cross multiply
    206,065.62x = 309,009.33 × 71,143.92
  4. Step 4: Simplify right side
    206,065.62x = 21,984,135,052.77
  5. Step 5: Solve for x
    x = 21,984,135,052.77/206,065.62
  6. Step 6: Final answer
    x = 106,685.12

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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.