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Finding the Fourth Proportional to 198,828, 274,384.80 and 109,404

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Solution

The fourth proportional to 198,828, 274,384.80 and 109,404 is: 150,978.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,828 : 274,384.80 = 109,404 : x
  2. Step 2: Convert to fraction form
    198,828/274,384.80 = 109,404/x
  3. Step 3: Cross multiply
    198,828x = 274,384.80 × 109,404
  4. Step 4: Simplify right side
    198,828x = 30,018,794,659.20
  5. Step 5: Solve for x
    x = 30,018,794,659.20/198,828
  6. Step 6: Final answer
    x = 150,978.71

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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.