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Finding the Fourth Proportional to 70,696, 106,044 and 21,448

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Solution

The fourth proportional to 70,696, 106,044 and 21,448 is: 32,172

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,696 : 106,044 = 21,448 : x
  2. Step 2: Convert to fraction form
    70,696/106,044 = 21,448/x
  3. Step 3: Cross multiply
    70,696x = 106,044 × 21,448
  4. Step 4: Simplify right side
    70,696x = 2,274,431,712
  5. Step 5: Solve for x
    x = 2,274,431,712/70,696
  6. Step 6: Final answer
    x = 32,172

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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.