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Finding the Fourth Proportional to 198,908.69, 274,499.82 and 108,270.54

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Solution

The fourth proportional to 198,908.69, 274,499.82 and 108,270.54 is: 149,416.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,908.69 : 274,499.82 = 108,270.54 : x
  2. Step 2: Convert to fraction form
    198,908.69/274,499.82 = 108,270.54/x
  3. Step 3: Cross multiply
    198,908.69x = 274,499.82 × 108,270.54
  4. Step 4: Simplify right side
    198,908.69x = 29,720,243,741.30
  5. Step 5: Solve for x
    x = 29,720,243,741.30/198,908.69
  6. Step 6: Final answer
    x = 149,416.52

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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.