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Finding the Fourth Proportional to 206,432.87, 309,211.88 and 155,956.91

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Solution

The fourth proportional to 206,432.87, 309,211.88 and 155,956.91 is: 233,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,432.87 : 309,211.88 = 155,956.91 : x
  2. Step 2: Convert to fraction form
    206,432.87/309,211.88 = 155,956.91/x
  3. Step 3: Cross multiply
    206,432.87x = 309,211.88 × 155,956.91
  4. Step 4: Simplify right side
    206,432.87x = 48,223,727,014.25
  5. Step 5: Solve for x
    x = 48,223,727,014.25/206,432.87
  6. Step 6: Final answer
    x = 233,604.89

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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.