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Finding the Fourth Proportional to 198,561.65, 274,016.87 and 107,917.82

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Solution

The fourth proportional to 198,561.65, 274,016.87 and 107,917.82 is: 148,927.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,561.65 : 274,016.87 = 107,917.82 : x
  2. Step 2: Convert to fraction form
    198,561.65/274,016.87 = 107,917.82/x
  3. Step 3: Cross multiply
    198,561.65x = 274,016.87 × 107,917.82
  4. Step 4: Simplify right side
    198,561.65x = 29,571,301,343.95
  5. Step 5: Solve for x
    x = 29,571,301,343.95/198,561.65
  6. Step 6: Final answer
    x = 148,927.56

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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.