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Finding the Fourth Proportional to 199,083.78, 274,735.56 and 109,659.78

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Solution

The fourth proportional to 199,083.78, 274,735.56 and 109,659.78 is: 151,330.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,083.78 : 274,735.56 = 109,659.78 : x
  2. Step 2: Convert to fraction form
    199,083.78/274,735.56 = 109,659.78/x
  3. Step 3: Cross multiply
    199,083.78x = 274,735.56 × 109,659.78
  4. Step 4: Simplify right side
    199,083.78x = 30,127,441,067.78
  5. Step 5: Solve for x
    x = 30,127,441,067.78/199,083.78
  6. Step 6: Final answer
    x = 151,330.47

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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.