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Finding the Fourth Proportional to 198,116.34, 297,248.49 and 79,821.24

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Solution

The fourth proportional to 198,116.34, 297,248.49 and 79,821.24 is: 119,761.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,116.34 : 297,248.49 = 79,821.24 : x
  2. Step 2: Convert to fraction form
    198,116.34/297,248.49 = 79,821.24/x
  3. Step 3: Cross multiply
    198,116.34x = 297,248.49 × 79,821.24
  4. Step 4: Simplify right side
    198,116.34x = 23,726,743,059.93
  5. Step 5: Solve for x
    x = 23,726,743,059.93/198,116.34
  6. Step 6: Final answer
    x = 119,761.67

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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.