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Finding the Fourth Proportional to 206,139.20, 309,028.80 and 79,865.60

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Solution

The fourth proportional to 206,139.20, 309,028.80 and 79,865.60 is: 119,728.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,139.20 : 309,028.80 = 79,865.60 : x
  2. Step 2: Convert to fraction form
    206,139.20/309,028.80 = 79,865.60/x
  3. Step 3: Cross multiply
    206,139.20x = 309,028.80 × 79,865.60
  4. Step 4: Simplify right side
    206,139.20x = 24,680,770,529.28
  5. Step 5: Solve for x
    x = 24,680,770,529.28/206,139.20
  6. Step 6: Final answer
    x = 119,728.66

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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.