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Finding the Fourth Proportional to 198,578.91, 274,037.54 and 113,712.38

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Solution

The fourth proportional to 198,578.91, 274,037.54 and 113,712.38 is: 156,922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,578.91 : 274,037.54 = 113,712.38 : x
  2. Step 2: Convert to fraction form
    198,578.91/274,037.54 = 113,712.38/x
  3. Step 3: Cross multiply
    198,578.91x = 274,037.54 × 113,712.38
  4. Step 4: Simplify right side
    198,578.91x = 31,161,460,882.75
  5. Step 5: Solve for x
    x = 31,161,460,882.75/198,578.91
  6. Step 6: Final answer
    x = 156,922.31

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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.