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Finding the Fourth Proportional to 198,609.56, 274,086.53 and 107,971.67

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Solution

The fourth proportional to 198,609.56, 274,086.53 and 107,971.67 is: 149,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,609.56 : 274,086.53 = 107,971.67 : x
  2. Step 2: Convert to fraction form
    198,609.56/274,086.53 = 107,971.67/x
  3. Step 3: Cross multiply
    198,609.56x = 274,086.53 × 107,971.67
  4. Step 4: Simplify right side
    198,609.56x = 29,593,578,458.31
  5. Step 5: Solve for x
    x = 29,593,578,458.31/198,609.56
  6. Step 6: Final answer
    x = 149,003.80

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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.