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Finding the Fourth Proportional to 74,608.20, 111,825.90 and 30,205.80

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Solution

The fourth proportional to 74,608.20, 111,825.90 and 30,205.80 is: 45,273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,608.20 : 111,825.90 = 30,205.80 : x
  2. Step 2: Convert to fraction form
    74,608.20/111,825.90 = 30,205.80/x
  3. Step 3: Cross multiply
    74,608.20x = 111,825.90 × 30,205.80
  4. Step 4: Simplify right side
    74,608.20x = 3,377,790,770.22
  5. Step 5: Solve for x
    x = 3,377,790,770.22/74,608.20
  6. Step 6: Final answer
    x = 45,273.72

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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.