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Finding the Fourth Proportional to 20,105.20, 30,157.80 and 9,000.10

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Solution

The fourth proportional to 20,105.20, 30,157.80 and 9,000.10 is: 13,500.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,105.20 : 30,157.80 = 9,000.10 : x
  2. Step 2: Convert to fraction form
    20,105.20/30,157.80 = 9,000.10/x
  3. Step 3: Cross multiply
    20,105.20x = 30,157.80 × 9,000.10
  4. Step 4: Simplify right side
    20,105.20x = 271,423,215.78
  5. Step 5: Solve for x
    x = 271,423,215.78/20,105.20
  6. Step 6: Final answer
    x = 13,500.15

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Half scale
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Double scale
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Similar ratio
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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.