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Finding the Fourth Proportional to 248,375.25, 342,757.89 and 135,198

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Solution

The fourth proportional to 248,375.25, 342,757.89 and 135,198 is: 186,573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,375.25 : 342,757.89 = 135,198 : x
  2. Step 2: Convert to fraction form
    248,375.25/342,757.89 = 135,198/x
  3. Step 3: Cross multiply
    248,375.25x = 342,757.89 × 135,198
  4. Step 4: Simplify right side
    248,375.25x = 46,340,181,212.22
  5. Step 5: Solve for x
    x = 46,340,181,212.22/248,375.25
  6. Step 6: Final answer
    x = 186,573.26

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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.