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Finding the Fourth Proportional to 100,456.20, 150,857.10 and 71,080.20

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Solution

The fourth proportional to 100,456.20, 150,857.10 and 71,080.20 is: 106,742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,456.20 : 150,857.10 = 71,080.20 : x
  2. Step 2: Convert to fraction form
    100,456.20/150,857.10 = 71,080.20/x
  3. Step 3: Cross multiply
    100,456.20x = 150,857.10 × 71,080.20
  4. Step 4: Simplify right side
    100,456.20x = 10,722,952,839.42
  5. Step 5: Solve for x
    x = 10,722,952,839.42/100,456.20
  6. Step 6: Final answer
    x = 106,742.57

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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.