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Finding the Fourth Proportional to 79,882, 119,823 and 21,514

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Solution

The fourth proportional to 79,882, 119,823 and 21,514 is: 32,271

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,882 : 119,823 = 21,514 : x
  2. Step 2: Convert to fraction form
    79,882/119,823 = 21,514/x
  3. Step 3: Cross multiply
    79,882x = 119,823 × 21,514
  4. Step 4: Simplify right side
    79,882x = 2,577,872,022
  5. Step 5: Solve for x
    x = 2,577,872,022/79,882
  6. Step 6: Final answer
    x = 32,271

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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.