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Finding the Fourth Proportional to 100,616.20, 151,097.10 and 71,240.20

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Solution

The fourth proportional to 100,616.20, 151,097.10 and 71,240.20 is: 106,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,616.20 : 151,097.10 = 71,240.20 : x
  2. Step 2: Convert to fraction form
    100,616.20/151,097.10 = 71,240.20/x
  3. Step 3: Cross multiply
    100,616.20x = 151,097.10 × 71,240.20
  4. Step 4: Simplify right side
    100,616.20x = 10,764,187,623.42
  5. Step 5: Solve for x
    x = 10,764,187,623.42/100,616.20
  6. Step 6: Final answer
    x = 106,982.65

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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.