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Finding the Fourth Proportional to 69,996, 104,994 and 20,748

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Solution

The fourth proportional to 69,996, 104,994 and 20,748 is: 31,122

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,996 : 104,994 = 20,748 : x
  2. Step 2: Convert to fraction form
    69,996/104,994 = 20,748/x
  3. Step 3: Cross multiply
    69,996x = 104,994 × 20,748
  4. Step 4: Simplify right side
    69,996x = 2,178,415,512
  5. Step 5: Solve for x
    x = 2,178,415,512/69,996
  6. Step 6: Final answer
    x = 31,122

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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.