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Finding the Fourth Proportional to 198,998.70, 274,623.12 and 108,359.64

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Solution

The fourth proportional to 198,998.70, 274,623.12 and 108,359.64 is: 149,538.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,998.70 : 274,623.12 = 108,359.64 : x
  2. Step 2: Convert to fraction form
    198,998.70/274,623.12 = 108,359.64/x
  3. Step 3: Cross multiply
    198,998.70x = 274,623.12 × 108,359.64
  4. Step 4: Simplify right side
    198,998.70x = 29,758,062,418.88
  5. Step 5: Solve for x
    x = 29,758,062,418.88/198,998.70
  6. Step 6: Final answer
    x = 149,538.98

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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.