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Finding the Fourth Proportional to 193,857.90, 290,667.78 and 75,391.22

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Solution

The fourth proportional to 193,857.90, 290,667.78 and 75,391.22 is: 113,040.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,857.90 : 290,667.78 = 75,391.22 : x
  2. Step 2: Convert to fraction form
    193,857.90/290,667.78 = 75,391.22/x
  3. Step 3: Cross multiply
    193,857.90x = 290,667.78 × 75,391.22
  4. Step 4: Simplify right side
    193,857.90x = 21,913,797,095.55
  5. Step 5: Solve for x
    x = 21,913,797,095.55/193,857.90
  6. Step 6: Final answer
    x = 113,040.52

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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.