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Finding the Fourth Proportional to 100,286.64, 150,207.20 and 71,770.48

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Solution

The fourth proportional to 100,286.64, 150,207.20 and 71,770.48 is: 107,496.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,286.64 : 150,207.20 = 71,770.48 : x
  2. Step 2: Convert to fraction form
    100,286.64/150,207.20 = 71,770.48/x
  3. Step 3: Cross multiply
    100,286.64x = 150,207.20 × 71,770.48
  4. Step 4: Simplify right side
    100,286.64x = 10,780,442,843.46
  5. Step 5: Solve for x
    x = 10,780,442,843.46/100,286.64
  6. Step 6: Final answer
    x = 107,496.30

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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.