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Finding the Fourth Proportional to 199,804.68, 275,725.80 and 109,161

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Solution

The fourth proportional to 199,804.68, 275,725.80 and 109,161 is: 150,639.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,804.68 : 275,725.80 = 109,161 : x
  2. Step 2: Convert to fraction form
    199,804.68/275,725.80 = 109,161/x
  3. Step 3: Cross multiply
    199,804.68x = 275,725.80 × 109,161
  4. Step 4: Simplify right side
    199,804.68x = 30,098,504,053.80
  5. Step 5: Solve for x
    x = 30,098,504,053.80/199,804.68
  6. Step 6: Final answer
    x = 150,639.63

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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.