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Finding the Fourth Proportional to 80,428.16, 120,622.80 and 33,716

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Solution

The fourth proportional to 80,428.16, 120,622.80 and 33,716 is: 50,565.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,428.16 : 120,622.80 = 33,716 : x
  2. Step 2: Convert to fraction form
    80,428.16/120,622.80 = 33,716/x
  3. Step 3: Cross multiply
    80,428.16x = 120,622.80 × 33,716
  4. Step 4: Simplify right side
    80,428.16x = 4,066,918,324.80
  5. Step 5: Solve for x
    x = 4,066,918,324.80/80,428.16
  6. Step 6: Final answer
    x = 50,565.85

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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.