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Finding the Fourth Proportional to 198,687.66, 274,169.34 and 112,629.66

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Solution

The fourth proportional to 198,687.66, 274,169.34 and 112,629.66 is: 155,417.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,687.66 : 274,169.34 = 112,629.66 : x
  2. Step 2: Convert to fraction form
    198,687.66/274,169.34 = 112,629.66/x
  3. Step 3: Cross multiply
    198,687.66x = 274,169.34 × 112,629.66
  4. Step 4: Simplify right side
    198,687.66x = 30,879,599,546.62
  5. Step 5: Solve for x
    x = 30,879,599,546.62/198,687.66
  6. Step 6: Final answer
    x = 155,417.80

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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.