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Finding the Fourth Proportional to 80,145.92, 120,222.24 and 20,982.56

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Solution

The fourth proportional to 80,145.92, 120,222.24 and 20,982.56 is: 31,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,145.92 : 120,222.24 = 20,982.56 : x
  2. Step 2: Convert to fraction form
    80,145.92/120,222.24 = 20,982.56/x
  3. Step 3: Cross multiply
    80,145.92x = 120,222.24 × 20,982.56
  4. Step 4: Simplify right side
    80,145.92x = 2,522,570,364.13
  5. Step 5: Solve for x
    x = 2,522,570,364.13/80,145.92
  6. Step 6: Final answer
    x = 31,474.72

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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.