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Finding the Fourth Proportional to 20,102.50, 30,158.61 and 6,251.50

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Solution

The fourth proportional to 20,102.50, 30,158.61 and 6,251.50 is: 9,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.50 : 30,158.61 = 6,251.50 : x
  2. Step 2: Convert to fraction form
    20,102.50/30,158.61 = 6,251.50/x
  3. Step 3: Cross multiply
    20,102.50x = 30,158.61 × 6,251.50
  4. Step 4: Simplify right side
    20,102.50x = 188,536,550.42
  5. Step 5: Solve for x
    x = 188,536,550.42/20,102.50
  6. Step 6: Final answer
    x = 9,378.76

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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.