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Finding the Fourth Proportional to 197,992.98, 297,019.11 and 71,662.78

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Solution

The fourth proportional to 197,992.98, 297,019.11 and 71,662.78 is: 107,504.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,992.98 : 297,019.11 = 71,662.78 : x
  2. Step 2: Convert to fraction form
    197,992.98/297,019.11 = 71,662.78/x
  3. Step 3: Cross multiply
    197,992.98x = 297,019.11 × 71,662.78
  4. Step 4: Simplify right side
    197,992.98x = 21,285,215,148.69
  5. Step 5: Solve for x
    x = 21,285,215,148.69/197,992.98
  6. Step 6: Final answer
    x = 107,504.90

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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.