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Finding the Fourth Proportional to 149,304.90, 206,040.72 and 82,236.90

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Solution

The fourth proportional to 149,304.90, 206,040.72 and 82,236.90 is: 113,486.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,304.90 : 206,040.72 = 82,236.90 : x
  2. Step 2: Convert to fraction form
    149,304.90/206,040.72 = 82,236.90/x
  3. Step 3: Cross multiply
    149,304.90x = 206,040.72 × 82,236.90
  4. Step 4: Simplify right side
    149,304.90x = 16,944,150,086.57
  5. Step 5: Solve for x
    x = 16,944,150,086.57/149,304.90
  6. Step 6: Final answer
    x = 113,486.90

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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.