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Finding the Fourth Proportional to 20,165.28, 30,251.02 and 10,299.20

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Solution

The fourth proportional to 20,165.28, 30,251.02 and 10,299.20 is: 15,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,165.28 : 30,251.02 = 10,299.20 : x
  2. Step 2: Convert to fraction form
    20,165.28/30,251.02 = 10,299.20/x
  3. Step 3: Cross multiply
    20,165.28x = 30,251.02 × 10,299.20
  4. Step 4: Simplify right side
    20,165.28x = 311,561,305.18
  5. Step 5: Solve for x
    x = 311,561,305.18/20,165.28
  6. Step 6: Final answer
    x = 15,450.38

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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.