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Finding the Fourth Proportional to 131,308, 196,962 and 32,812

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Solution

The fourth proportional to 131,308, 196,962 and 32,812 is: 49,218

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,308 : 196,962 = 32,812 : x
  2. Step 2: Convert to fraction form
    131,308/196,962 = 32,812/x
  3. Step 3: Cross multiply
    131,308x = 196,962 × 32,812
  4. Step 4: Simplify right side
    131,308x = 6,462,717,144
  5. Step 5: Solve for x
    x = 6,462,717,144/131,308
  6. Step 6: Final answer
    x = 49,218

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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.