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Finding the Fourth Proportional to 206,162.70, 309,146.58 and 79,862.10

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Solution

The fourth proportional to 206,162.70, 309,146.58 and 79,862.10 is: 119,755.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,162.70 : 309,146.58 = 79,862.10 : x
  2. Step 2: Convert to fraction form
    206,162.70/309,146.58 = 79,862.10/x
  3. Step 3: Cross multiply
    206,162.70x = 309,146.58 × 79,862.10
  4. Step 4: Simplify right side
    206,162.70x = 24,689,095,086.62
  5. Step 5: Solve for x
    x = 24,689,095,086.62/206,162.70
  6. Step 6: Final answer
    x = 119,755.39

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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.