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Finding the Fourth Proportional to 82,912.20, 124,221.90 and 80,171.40

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Solution

The fourth proportional to 82,912.20, 124,221.90 and 80,171.40 is: 120,115.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,912.20 : 124,221.90 = 80,171.40 : x
  2. Step 2: Convert to fraction form
    82,912.20/124,221.90 = 80,171.40/x
  3. Step 3: Cross multiply
    82,912.20x = 124,221.90 × 80,171.40
  4. Step 4: Simplify right side
    82,912.20x = 9,959,043,633.66
  5. Step 5: Solve for x
    x = 9,959,043,633.66/82,912.20
  6. Step 6: Final answer
    x = 120,115.54

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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.