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Finding the Fourth Proportional to 198,499.80, 297,749.70 and 80,110.20

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Solution

The fourth proportional to 198,499.80, 297,749.70 and 80,110.20 is: 120,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,499.80 : 297,749.70 = 80,110.20 : x
  2. Step 2: Convert to fraction form
    198,499.80/297,749.70 = 80,110.20/x
  3. Step 3: Cross multiply
    198,499.80x = 297,749.70 × 80,110.20
  4. Step 4: Simplify right side
    198,499.80x = 23,852,788,016.94
  5. Step 5: Solve for x
    x = 23,852,788,016.94/198,499.80
  6. Step 6: Final answer
    x = 120,165.30

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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.