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Finding the Fourth Proportional to 198,959.82, 274,561.83 and 108,316.56

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Solution

The fourth proportional to 198,959.82, 274,561.83 and 108,316.56 is: 149,475.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,959.82 : 274,561.83 = 108,316.56 : x
  2. Step 2: Convert to fraction form
    198,959.82/274,561.83 = 108,316.56/x
  3. Step 3: Cross multiply
    198,959.82x = 274,561.83 × 108,316.56
  4. Step 4: Simplify right side
    198,959.82x = 29,739,592,932.90
  5. Step 5: Solve for x
    x = 29,739,592,932.90/198,959.82
  6. Step 6: Final answer
    x = 149,475.37

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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.