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Finding the Fourth Proportional to 202,249.64, 279,105.31 and 111,608.21

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Solution

The fourth proportional to 202,249.64, 279,105.31 and 111,608.21 is: 154,019.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,249.64 : 279,105.31 = 111,608.21 : x
  2. Step 2: Convert to fraction form
    202,249.64/279,105.31 = 111,608.21/x
  3. Step 3: Cross multiply
    202,249.64x = 279,105.31 × 111,608.21
  4. Step 4: Simplify right side
    202,249.64x = 31,150,444,887.87
  5. Step 5: Solve for x
    x = 31,150,444,887.87/202,249.64
  6. Step 6: Final answer
    x = 154,019.78

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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.