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Finding the Fourth Proportional to 196,481.08, 294,724.86 and 71,821

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Solution

The fourth proportional to 196,481.08, 294,724.86 and 71,821 is: 107,732.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,481.08 : 294,724.86 = 71,821 : x
  2. Step 2: Convert to fraction form
    196,481.08/294,724.86 = 71,821/x
  3. Step 3: Cross multiply
    196,481.08x = 294,724.86 × 71,821
  4. Step 4: Simplify right side
    196,481.08x = 21,167,434,170.06
  5. Step 5: Solve for x
    x = 21,167,434,170.06/196,481.08
  6. Step 6: Final answer
    x = 107,732.68

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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.