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Finding the Fourth Proportional to 198,694.60, 274,205.75 and 113,828.07

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Solution

The fourth proportional to 198,694.60, 274,205.75 and 113,828.07 is: 157,086.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,694.60 : 274,205.75 = 113,828.07 : x
  2. Step 2: Convert to fraction form
    198,694.60/274,205.75 = 113,828.07/x
  3. Step 3: Cross multiply
    198,694.60x = 274,205.75 × 113,828.07
  4. Step 4: Simplify right side
    198,694.60x = 31,212,311,305.40
  5. Step 5: Solve for x
    x = 31,212,311,305.40/198,694.60
  6. Step 6: Final answer
    x = 157,086.86

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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.