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Finding the Fourth Proportional to 20,164.85, 30,253.43 and 10,311.05

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Solution

The fourth proportional to 20,164.85, 30,253.43 and 10,311.05 is: 15,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164.85 : 30,253.43 = 10,311.05 : x
  2. Step 2: Convert to fraction form
    20,164.85/30,253.43 = 10,311.05/x
  3. Step 3: Cross multiply
    20,164.85x = 30,253.43 × 10,311.05
  4. Step 4: Simplify right side
    20,164.85x = 311,944,730.81
  5. Step 5: Solve for x
    x = 311,944,730.81/20,164.85
  6. Step 6: Final answer
    x = 15,469.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.