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Finding the Fourth Proportional to 148,261, 204,600.90 and 81,193

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Solution

The fourth proportional to 148,261, 204,600.90 and 81,193 is: 112,046.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,261 : 204,600.90 = 81,193 : x
  2. Step 2: Convert to fraction form
    148,261/204,600.90 = 81,193/x
  3. Step 3: Cross multiply
    148,261x = 204,600.90 × 81,193
  4. Step 4: Simplify right side
    148,261x = 16,612,160,873.70
  5. Step 5: Solve for x
    x = 16,612,160,873.70/148,261
  6. Step 6: Final answer
    x = 112,046.73

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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.