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Finding the Fourth Proportional to 206,270.55, 309,422.03 and 87,942.78

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Solution

The fourth proportional to 206,270.55, 309,422.03 and 87,942.78 is: 131,921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,270.55 : 309,422.03 = 87,942.78 : x
  2. Step 2: Convert to fraction form
    206,270.55/309,422.03 = 87,942.78/x
  3. Step 3: Cross multiply
    206,270.55x = 309,422.03 × 87,942.78
  4. Step 4: Simplify right side
    206,270.55x = 27,211,433,071.73
  5. Step 5: Solve for x
    x = 27,211,433,071.73/206,270.55
  6. Step 6: Final answer
    x = 131,921.08

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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.