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Finding the Fourth Proportional to 149,872.25, 206,817.54 and 81,891.56

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Solution

The fourth proportional to 149,872.25, 206,817.54 and 81,891.56 is: 113,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,872.25 : 206,817.54 = 81,891.56 : x
  2. Step 2: Convert to fraction form
    149,872.25/206,817.54 = 81,891.56/x
  3. Step 3: Cross multiply
    149,872.25x = 206,817.54 × 81,891.56
  4. Step 4: Simplify right side
    149,872.25x = 16,936,609,951.87
  5. Step 5: Solve for x
    x = 16,936,609,951.87/149,872.25
  6. Step 6: Final answer
    x = 113,006.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.