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Finding the Fourth Proportional to 192,770.40, 289,238.30 and 74,524.78

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Solution

The fourth proportional to 192,770.40, 289,238.30 and 74,524.78 is: 111,819.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,770.40 : 289,238.30 = 74,524.78 : x
  2. Step 2: Convert to fraction form
    192,770.40/289,238.30 = 74,524.78/x
  3. Step 3: Cross multiply
    192,770.40x = 289,238.30 × 74,524.78
  4. Step 4: Simplify right side
    192,770.40x = 21,555,420,675.07
  5. Step 5: Solve for x
    x = 21,555,420,675.07/192,770.40
  6. Step 6: Final answer
    x = 111,819.14

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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.