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Finding the Fourth Proportional to 199,350, 275,107.50 and 113,295.42

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Solution

The fourth proportional to 199,350, 275,107.50 and 113,295.42 is: 156,350.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,350 : 275,107.50 = 113,295.42 : x
  2. Step 2: Convert to fraction form
    199,350/275,107.50 = 113,295.42/x
  3. Step 3: Cross multiply
    199,350x = 275,107.50 × 113,295.42
  4. Step 4: Simplify right side
    199,350x = 31,168,419,757.65
  5. Step 5: Solve for x
    x = 31,168,419,757.65/199,350
  6. Step 6: Final answer
    x = 156,350.24

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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.