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Finding the Fourth Proportional to 198,873, 274,449.06 and 109,449

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Solution

The fourth proportional to 198,873, 274,449.06 and 109,449 is: 151,042.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,873 : 274,449.06 = 109,449 : x
  2. Step 2: Convert to fraction form
    198,873/274,449.06 = 109,449/x
  3. Step 3: Cross multiply
    198,873x = 274,449.06 × 109,449
  4. Step 4: Simplify right side
    198,873x = 30,038,175,167.94
  5. Step 5: Solve for x
    x = 30,038,175,167.94/198,873
  6. Step 6: Final answer
    x = 151,042.00

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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.