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Finding the Fourth Proportional to 198,642.75, 274,127 and 109,218.75

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Solution

The fourth proportional to 198,642.75, 274,127 and 109,218.75 is: 150,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,642.75 : 274,127 = 109,218.75 : x
  2. Step 2: Convert to fraction form
    198,642.75/274,127 = 109,218.75/x
  3. Step 3: Cross multiply
    198,642.75x = 274,127 × 109,218.75
  4. Step 4: Simplify right side
    198,642.75x = 29,939,808,281.25
  5. Step 5: Solve for x
    x = 29,939,808,281.25/198,642.75
  6. Step 6: Final answer
    x = 150,721.88

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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.