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Finding the Fourth Proportional to 149,405.90, 206,180.14 and 82,337.90

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Solution

The fourth proportional to 149,405.90, 206,180.14 and 82,337.90 is: 113,626.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,405.90 : 206,180.14 = 82,337.90 : x
  2. Step 2: Convert to fraction form
    149,405.90/206,180.14 = 82,337.90/x
  3. Step 3: Cross multiply
    149,405.90x = 206,180.14 × 82,337.90
  4. Step 4: Simplify right side
    149,405.90x = 16,976,439,337.62
  5. Step 5: Solve for x
    x = 16,976,439,337.62/149,405.90
  6. Step 6: Final answer
    x = 113,626.30

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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.