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Finding the Fourth Proportional to 199,398.89, 275,162.85 and 109,974.89

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Solution

The fourth proportional to 199,398.89, 275,162.85 and 109,974.89 is: 151,761.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,398.89 : 275,162.85 = 109,974.89 : x
  2. Step 2: Convert to fraction form
    199,398.89/275,162.85 = 109,974.89/x
  3. Step 3: Cross multiply
    199,398.89x = 275,162.85 × 109,974.89
  4. Step 4: Simplify right side
    199,398.89x = 30,261,004,160.84
  5. Step 5: Solve for x
    x = 30,261,004,160.84/199,398.89
  6. Step 6: Final answer
    x = 151,761.15

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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.