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Finding the Fourth Proportional to 206,172.96, 309,161.70 and 79,872.36

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Solution

The fourth proportional to 206,172.96, 309,161.70 and 79,872.36 is: 119,770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,172.96 : 309,161.70 = 79,872.36 : x
  2. Step 2: Convert to fraction form
    206,172.96/309,161.70 = 79,872.36/x
  3. Step 3: Cross multiply
    206,172.96x = 309,161.70 × 79,872.36
  4. Step 4: Simplify right side
    206,172.96x = 24,693,474,600.61
  5. Step 5: Solve for x
    x = 24,693,474,600.61/206,172.96
  6. Step 6: Final answer
    x = 119,770.68

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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.