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Finding the Fourth Proportional to 76,992, 115,488 and 18,624

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Solution

The fourth proportional to 76,992, 115,488 and 18,624 is: 27,936

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,992 : 115,488 = 18,624 : x
  2. Step 2: Convert to fraction form
    76,992/115,488 = 18,624/x
  3. Step 3: Cross multiply
    76,992x = 115,488 × 18,624
  4. Step 4: Simplify right side
    76,992x = 2,150,848,512
  5. Step 5: Solve for x
    x = 2,150,848,512/76,992
  6. Step 6: Final answer
    x = 27,936

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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.