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Finding the Fourth Proportional to 76,934, 115,401 and 21,530

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Solution

The fourth proportional to 76,934, 115,401 and 21,530 is: 32,295

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,934 : 115,401 = 21,530 : x
  2. Step 2: Convert to fraction form
    76,934/115,401 = 21,530/x
  3. Step 3: Cross multiply
    76,934x = 115,401 × 21,530
  4. Step 4: Simplify right side
    76,934x = 2,484,583,530
  5. Step 5: Solve for x
    x = 2,484,583,530/76,934
  6. Step 6: Final answer
    x = 32,295

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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.