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Finding the Fourth Proportional to 198,697.20, 298,045.80 and 119,770.80

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Solution

The fourth proportional to 198,697.20, 298,045.80 and 119,770.80 is: 179,656.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,697.20 : 298,045.80 = 119,770.80 : x
  2. Step 2: Convert to fraction form
    198,697.20/298,045.80 = 119,770.80/x
  3. Step 3: Cross multiply
    198,697.20x = 298,045.80 × 119,770.80
  4. Step 4: Simplify right side
    198,697.20x = 35,697,183,902.64
  5. Step 5: Solve for x
    x = 35,697,183,902.64/198,697.20
  6. Step 6: Final answer
    x = 179,656.20

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1.5x scale

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.