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Finding the Fourth Proportional to 198,731, 274,249.50 and 108,086.96

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Solution

The fourth proportional to 198,731, 274,249.50 and 108,086.96 is: 149,160.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,731 : 274,249.50 = 108,086.96 : x
  2. Step 2: Convert to fraction form
    198,731/274,249.50 = 108,086.96/x
  3. Step 3: Cross multiply
    198,731x = 274,249.50 × 108,086.96
  4. Step 4: Simplify right side
    198,731x = 29,642,794,736.52
  5. Step 5: Solve for x
    x = 29,642,794,736.52/198,731
  6. Step 6: Final answer
    x = 149,160.40

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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.