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Finding the Fourth Proportional to 206,956.20, 309,778.20 and 147,907.20

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Solution

The fourth proportional to 206,956.20, 309,778.20 and 147,907.20 is: 221,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,956.20 : 309,778.20 = 147,907.20 : x
  2. Step 2: Convert to fraction form
    206,956.20/309,778.20 = 147,907.20/x
  3. Step 3: Cross multiply
    206,956.20x = 309,778.20 × 147,907.20
  4. Step 4: Simplify right side
    206,956.20x = 45,818,426,183.04
  5. Step 5: Solve for x
    x = 45,818,426,183.04/206,956.20
  6. Step 6: Final answer
    x = 221,391.90

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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.