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Finding the Fourth Proportional to 137,974.20, 206,961.30 and 54,868.20

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Solution

The fourth proportional to 137,974.20, 206,961.30 and 54,868.20 is: 82,302.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,974.20 : 206,961.30 = 54,868.20 : x
  2. Step 2: Convert to fraction form
    137,974.20/206,961.30 = 54,868.20/x
  3. Step 3: Cross multiply
    137,974.20x = 206,961.30 × 54,868.20
  4. Step 4: Simplify right side
    137,974.20x = 11,355,594,000.66
  5. Step 5: Solve for x
    x = 11,355,594,000.66/137,974.20
  6. Step 6: Final answer
    x = 82,302.30

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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.