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Finding the Fourth Proportional to 20,229.40, 30,344.10 and 20,099.80

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Solution

The fourth proportional to 20,229.40, 30,344.10 and 20,099.80 is: 30,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,229.40 : 30,344.10 = 20,099.80 : x
  2. Step 2: Convert to fraction form
    20,229.40/30,344.10 = 20,099.80/x
  3. Step 3: Cross multiply
    20,229.40x = 30,344.10 × 20,099.80
  4. Step 4: Simplify right side
    20,229.40x = 609,910,341.18
  5. Step 5: Solve for x
    x = 609,910,341.18/20,229.40
  6. Step 6: Final answer
    x = 30,149.70

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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.