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Finding the Fourth Proportional to 198,722.89, 274,234.91 and 108,076.90

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Solution

The fourth proportional to 198,722.89, 274,234.91 and 108,076.90 is: 149,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,722.89 : 274,234.91 = 108,076.90 : x
  2. Step 2: Convert to fraction form
    198,722.89/274,234.91 = 108,076.90/x
  3. Step 3: Cross multiply
    198,722.89x = 274,234.91 × 108,076.90
  4. Step 4: Simplify right side
    198,722.89x = 29,638,458,944.58
  5. Step 5: Solve for x
    x = 29,638,458,944.58/198,722.89
  6. Step 6: Final answer
    x = 149,144.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.