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Finding the Fourth Proportional to 80,942.44, 121,384.49 and 34,198.96

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Solution

The fourth proportional to 80,942.44, 121,384.49 and 34,198.96 is: 51,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,942.44 : 121,384.49 = 34,198.96 : x
  2. Step 2: Convert to fraction form
    80,942.44/121,384.49 = 34,198.96/x
  3. Step 3: Cross multiply
    80,942.44x = 121,384.49 × 34,198.96
  4. Step 4: Simplify right side
    80,942.44x = 4,151,222,711.21
  5. Step 5: Solve for x
    x = 4,151,222,711.21/80,942.44
  6. Step 6: Final answer
    x = 51,286.11

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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.