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Finding the Fourth Proportional to 198,698.91, 274,193.40 and 113,821.44

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Solution

The fourth proportional to 198,698.91, 274,193.40 and 113,821.44 is: 157,067.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,698.91 : 274,193.40 = 113,821.44 : x
  2. Step 2: Convert to fraction form
    198,698.91/274,193.40 = 113,821.44/x
  3. Step 3: Cross multiply
    198,698.91x = 274,193.40 × 113,821.44
  4. Step 4: Simplify right side
    198,698.91x = 31,209,087,626.50
  5. Step 5: Solve for x
    x = 31,209,087,626.50/198,698.91
  6. Step 6: Final answer
    x = 157,067.23

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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.