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Finding the Fourth Proportional to 80,236.70, 120,310.70 and 54,965.15

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Solution

The fourth proportional to 80,236.70, 120,310.70 and 54,965.15 is: 82,417.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,236.70 : 120,310.70 = 54,965.15 : x
  2. Step 2: Convert to fraction form
    80,236.70/120,310.70 = 54,965.15/x
  3. Step 3: Cross multiply
    80,236.70x = 120,310.70 × 54,965.15
  4. Step 4: Simplify right side
    80,236.70x = 6,612,894,795.73
  5. Step 5: Solve for x
    x = 6,612,894,795.73/80,236.70
  6. Step 6: Final answer
    x = 82,417.34

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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.