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Finding the Fourth Proportional to 80,286, 120,429 and 21,918

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Solution

The fourth proportional to 80,286, 120,429 and 21,918 is: 32,877

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,286 : 120,429 = 21,918 : x
  2. Step 2: Convert to fraction form
    80,286/120,429 = 21,918/x
  3. Step 3: Cross multiply
    80,286x = 120,429 × 21,918
  4. Step 4: Simplify right side
    80,286x = 2,639,562,822
  5. Step 5: Solve for x
    x = 2,639,562,822/80,286
  6. Step 6: Final answer
    x = 32,877

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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.