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Finding the Fourth Proportional to 70,996, 106,494 and 21,748

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Solution

The fourth proportional to 70,996, 106,494 and 21,748 is: 32,622

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,996 : 106,494 = 21,748 : x
  2. Step 2: Convert to fraction form
    70,996/106,494 = 21,748/x
  3. Step 3: Cross multiply
    70,996x = 106,494 × 21,748
  4. Step 4: Simplify right side
    70,996x = 2,316,031,512
  5. Step 5: Solve for x
    x = 2,316,031,512/70,996
  6. Step 6: Final answer
    x = 32,622

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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.