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Finding the Fourth Proportional to 80,207.20, 120,310.80 and 24,803.20

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Solution

The fourth proportional to 80,207.20, 120,310.80 and 24,803.20 is: 37,204.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,207.20 : 120,310.80 = 24,803.20 : x
  2. Step 2: Convert to fraction form
    80,207.20/120,310.80 = 24,803.20/x
  3. Step 3: Cross multiply
    80,207.20x = 120,310.80 × 24,803.20
  4. Step 4: Simplify right side
    80,207.20x = 2,984,092,834.56
  5. Step 5: Solve for x
    x = 2,984,092,834.56/80,207.20
  6. Step 6: Final answer
    x = 37,204.80

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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.