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Finding the Fourth Proportional to 80,021.92, 120,027.12 and 35,047.84

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Solution

The fourth proportional to 80,021.92, 120,027.12 and 35,047.84 is: 52,569.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,021.92 : 120,027.12 = 35,047.84 : x
  2. Step 2: Convert to fraction form
    80,021.92/120,027.12 = 35,047.84/x
  3. Step 3: Cross multiply
    80,021.92x = 120,027.12 × 35,047.84
  4. Step 4: Simplify right side
    80,021.92x = 4,206,691,297.42
  5. Step 5: Solve for x
    x = 4,206,691,297.42/80,021.92
  6. Step 6: Final answer
    x = 52,569.24

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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.