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Finding the Fourth Proportional to 198,170.54, 297,265.56 and 79,825.88

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Solution

The fourth proportional to 198,170.54, 297,265.56 and 79,825.88 is: 119,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,170.54 : 297,265.56 = 79,825.88 : x
  2. Step 2: Convert to fraction form
    198,170.54/297,265.56 = 79,825.88/x
  3. Step 3: Cross multiply
    198,170.54x = 297,265.56 × 79,825.88
  4. Step 4: Simplify right side
    198,170.54x = 23,729,484,920.69
  5. Step 5: Solve for x
    x = 23,729,484,920.69/198,170.54
  6. Step 6: Final answer
    x = 119,742.75

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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.