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Finding the Fourth Proportional to 199,380.25, 275,144.75 and 109,956.25

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Solution

The fourth proportional to 199,380.25, 275,144.75 and 109,956.25 is: 151,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,380.25 : 275,144.75 = 109,956.25 : x
  2. Step 2: Convert to fraction form
    199,380.25/275,144.75 = 109,956.25/x
  3. Step 3: Cross multiply
    199,380.25x = 275,144.75 × 109,956.25
  4. Step 4: Simplify right side
    199,380.25x = 30,253,884,917.19
  5. Step 5: Solve for x
    x = 30,253,884,917.19/199,380.25
  6. Step 6: Final answer
    x = 151,739.63

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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.