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Finding the Fourth Proportional to 71,704, 107,556 and 22,456

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Solution

The fourth proportional to 71,704, 107,556 and 22,456 is: 33,684

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,704 : 107,556 = 22,456 : x
  2. Step 2: Convert to fraction form
    71,704/107,556 = 22,456/x
  3. Step 3: Cross multiply
    71,704x = 107,556 × 22,456
  4. Step 4: Simplify right side
    71,704x = 2,415,277,536
  5. Step 5: Solve for x
    x = 2,415,277,536/71,704
  6. Step 6: Final answer
    x = 33,684

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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.