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Finding the Fourth Proportional to 100,189.88, 150,063.30 and 68,524.88

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Solution

The fourth proportional to 100,189.88, 150,063.30 and 68,524.88 is: 102,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,189.88 : 150,063.30 = 68,524.88 : x
  2. Step 2: Convert to fraction form
    100,189.88/150,063.30 = 68,524.88/x
  3. Step 3: Cross multiply
    100,189.88x = 150,063.30 × 68,524.88
  4. Step 4: Simplify right side
    100,189.88x = 10,283,069,624.90
  5. Step 5: Solve for x
    x = 10,283,069,624.90/100,189.88
  6. Step 6: Final answer
    x = 102,635.81

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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.