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Finding the Fourth Proportional to 80,142.06, 120,224.03 and 33,384

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Solution

The fourth proportional to 80,142.06, 120,224.03 and 33,384 is: 50,080.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,142.06 : 120,224.03 = 33,384 : x
  2. Step 2: Convert to fraction form
    80,142.06/120,224.03 = 33,384/x
  3. Step 3: Cross multiply
    80,142.06x = 120,224.03 × 33,384
  4. Step 4: Simplify right side
    80,142.06x = 4,013,558,850.60
  5. Step 5: Solve for x
    x = 4,013,558,850.60/80,142.06
  6. Step 6: Final answer
    x = 50,080.56

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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.