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Finding the Fourth Proportional to 198,797.80, 298,196.70 and 74,132.20

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Solution

The fourth proportional to 198,797.80, 298,196.70 and 74,132.20 is: 111,198.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,797.80 : 298,196.70 = 74,132.20 : x
  2. Step 2: Convert to fraction form
    198,797.80/298,196.70 = 74,132.20/x
  3. Step 3: Cross multiply
    198,797.80x = 298,196.70 × 74,132.20
  4. Step 4: Simplify right side
    198,797.80x = 22,105,977,403.74
  5. Step 5: Solve for x
    x = 22,105,977,403.74/198,797.80
  6. Step 6: Final answer
    x = 111,198.30

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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.