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Finding the Fourth Proportional to 80,312.13, 120,470.13 and 27,004.80

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Solution

The fourth proportional to 80,312.13, 120,470.13 and 27,004.80 is: 40,507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,312.13 : 120,470.13 = 27,004.80 : x
  2. Step 2: Convert to fraction form
    80,312.13/120,470.13 = 27,004.80/x
  3. Step 3: Cross multiply
    80,312.13x = 120,470.13 × 27,004.80
  4. Step 4: Simplify right side
    80,312.13x = 3,253,271,766.62
  5. Step 5: Solve for x
    x = 3,253,271,766.62/80,312.13
  6. Step 6: Final answer
    x = 40,507.85

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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.