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Finding the Fourth Proportional to 198,534, 274,016.72 and 117,945.96

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Solution

The fourth proportional to 198,534, 274,016.72 and 117,945.96 is: 162,789.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,534 : 274,016.72 = 117,945.96 : x
  2. Step 2: Convert to fraction form
    198,534/274,016.72 = 117,945.96/x
  3. Step 3: Cross multiply
    198,534x = 274,016.72 × 117,945.96
  4. Step 4: Simplify right side
    198,534x = 32,319,165,096.45
  5. Step 5: Solve for x
    x = 32,319,165,096.45/198,534
  6. Step 6: Final answer
    x = 162,789.07

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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.