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Finding the Fourth Proportional to 80,107.92, 120,178.82 and 30,186.95

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Solution

The fourth proportional to 80,107.92, 120,178.82 and 30,186.95 is: 45,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,107.92 : 120,178.82 = 30,186.95 : x
  2. Step 2: Convert to fraction form
    80,107.92/120,178.82 = 30,186.95/x
  3. Step 3: Cross multiply
    80,107.92x = 120,178.82 × 30,186.95
  4. Step 4: Simplify right side
    80,107.92x = 3,627,831,504.97
  5. Step 5: Solve for x
    x = 3,627,831,504.97/80,107.92
  6. Step 6: Final answer
    x = 45,286.80

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1.5x scale

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.