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Finding the Fourth Proportional to 206,592.40, 309,991 and 81,930.64

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Solution

The fourth proportional to 206,592.40, 309,991 and 81,930.64 is: 122,936.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,592.40 : 309,991 = 81,930.64 : x
  2. Step 2: Convert to fraction form
    206,592.40/309,991 = 81,930.64/x
  3. Step 3: Cross multiply
    206,592.40x = 309,991 × 81,930.64
  4. Step 4: Simplify right side
    206,592.40x = 25,397,761,024.24
  5. Step 5: Solve for x
    x = 25,397,761,024.24/206,592.40
  6. Step 6: Final answer
    x = 122,936.57

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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.