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Finding the Fourth Proportional to 76,922, 115,383 and 21,518

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Solution

The fourth proportional to 76,922, 115,383 and 21,518 is: 32,277

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,922 : 115,383 = 21,518 : x
  2. Step 2: Convert to fraction form
    76,922/115,383 = 21,518/x
  3. Step 3: Cross multiply
    76,922x = 115,383 × 21,518
  4. Step 4: Simplify right side
    76,922x = 2,482,811,394
  5. Step 5: Solve for x
    x = 2,482,811,394/76,922
  6. Step 6: Final answer
    x = 32,277

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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.