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Finding the Fourth Proportional to 192,309.78, 288,469.12 and 65,948.96

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Solution

The fourth proportional to 192,309.78, 288,469.12 and 65,948.96 is: 98,924.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,309.78 : 288,469.12 = 65,948.96 : x
  2. Step 2: Convert to fraction form
    192,309.78/288,469.12 = 65,948.96/x
  3. Step 3: Cross multiply
    192,309.78x = 288,469.12 × 65,948.96
  4. Step 4: Simplify right side
    192,309.78x = 19,024,238,456.12
  5. Step 5: Solve for x
    x = 19,024,238,456.12/192,309.78
  6. Step 6: Final answer
    x = 98,924.97

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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.