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Finding the Fourth Proportional to 198,211.44, 297,233.30 and 79,851

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Solution

The fourth proportional to 198,211.44, 297,233.30 and 79,851 is: 119,742.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,211.44 : 297,233.30 = 79,851 : x
  2. Step 2: Convert to fraction form
    198,211.44/297,233.30 = 79,851/x
  3. Step 3: Cross multiply
    198,211.44x = 297,233.30 × 79,851
  4. Step 4: Simplify right side
    198,211.44x = 23,734,376,238.30
  5. Step 5: Solve for x
    x = 23,734,376,238.30/198,211.44
  6. Step 6: Final answer
    x = 119,742.72

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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.