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Finding the Fourth Proportional to 70,694, 106,041 and 21,446

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Solution

The fourth proportional to 70,694, 106,041 and 21,446 is: 32,169

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,694 : 106,041 = 21,446 : x
  2. Step 2: Convert to fraction form
    70,694/106,041 = 21,446/x
  3. Step 3: Cross multiply
    70,694x = 106,041 × 21,446
  4. Step 4: Simplify right side
    70,694x = 2,274,155,286
  5. Step 5: Solve for x
    x = 2,274,155,286/70,694
  6. Step 6: Final answer
    x = 32,169

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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.