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Finding the Fourth Proportional to 131,676, 197,514 and 33,180

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Solution

The fourth proportional to 131,676, 197,514 and 33,180 is: 49,770

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,676 : 197,514 = 33,180 : x
  2. Step 2: Convert to fraction form
    131,676/197,514 = 33,180/x
  3. Step 3: Cross multiply
    131,676x = 197,514 × 33,180
  4. Step 4: Simplify right side
    131,676x = 6,553,514,520
  5. Step 5: Solve for x
    x = 6,553,514,520/131,676
  6. Step 6: Final answer
    x = 49,770

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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.