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Finding the Fourth Proportional to 199,086, 274,738.68 and 109,662

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Solution

The fourth proportional to 199,086, 274,738.68 and 109,662 is: 151,333.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,086 : 274,738.68 = 109,662 : x
  2. Step 2: Convert to fraction form
    199,086/274,738.68 = 109,662/x
  3. Step 3: Cross multiply
    199,086x = 274,738.68 × 109,662
  4. Step 4: Simplify right side
    199,086x = 30,128,393,126.16
  5. Step 5: Solve for x
    x = 30,128,393,126.16/199,086
  6. Step 6: Final answer
    x = 151,333.56

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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.