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Finding the Fourth Proportional to 64,644, 96,966 and 20,868

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Solution

The fourth proportional to 64,644, 96,966 and 20,868 is: 31,302

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,644 : 96,966 = 20,868 : x
  2. Step 2: Convert to fraction form
    64,644/96,966 = 20,868/x
  3. Step 3: Cross multiply
    64,644x = 96,966 × 20,868
  4. Step 4: Simplify right side
    64,644x = 2,023,486,488
  5. Step 5: Solve for x
    x = 2,023,486,488/64,644
  6. Step 6: Final answer
    x = 31,302

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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.