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Finding the Fourth Proportional to 149,591.89, 206,437.80 and 81,609.94

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Solution

The fourth proportional to 149,591.89, 206,437.80 and 81,609.94 is: 112,622.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,591.89 : 206,437.80 = 81,609.94 : x
  2. Step 2: Convert to fraction form
    149,591.89/206,437.80 = 81,609.94/x
  3. Step 3: Cross multiply
    149,591.89x = 206,437.80 × 81,609.94
  4. Step 4: Simplify right side
    149,591.89x = 16,847,376,471.73
  5. Step 5: Solve for x
    x = 16,847,376,471.73/149,591.89
  6. Step 6: Final answer
    x = 112,622.26

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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.