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Finding the Fourth Proportional to 193,378, 290,067 and 68,723.92

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Solution

The fourth proportional to 193,378, 290,067 and 68,723.92 is: 103,085.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,378 : 290,067 = 68,723.92 : x
  2. Step 2: Convert to fraction form
    193,378/290,067 = 68,723.92/x
  3. Step 3: Cross multiply
    193,378x = 290,067 × 68,723.92
  4. Step 4: Simplify right side
    193,378x = 19,934,541,302.64
  5. Step 5: Solve for x
    x = 19,934,541,302.64/193,378
  6. Step 6: Final answer
    x = 103,085.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.