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Finding the Fourth Proportional to 199,084, 274,735.92 and 109,660

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Solution

The fourth proportional to 199,084, 274,735.92 and 109,660 is: 151,330.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,084 : 274,735.92 = 109,660 : x
  2. Step 2: Convert to fraction form
    199,084/274,735.92 = 109,660/x
  3. Step 3: Cross multiply
    199,084x = 274,735.92 × 109,660
  4. Step 4: Simplify right side
    199,084x = 30,127,540,987.20
  5. Step 5: Solve for x
    x = 30,127,540,987.20/199,084
  6. Step 6: Final answer
    x = 151,330.80

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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.