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Finding the Fourth Proportional to 64,614, 96,921 and 17,229.24

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Solution

The fourth proportional to 64,614, 96,921 and 17,229.24 is: 25,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,614 : 96,921 = 17,229.24 : x
  2. Step 2: Convert to fraction form
    64,614/96,921 = 17,229.24/x
  3. Step 3: Cross multiply
    64,614x = 96,921 × 17,229.24
  4. Step 4: Simplify right side
    64,614x = 1,669,875,170.04
  5. Step 5: Solve for x
    x = 1,669,875,170.04/64,614
  6. Step 6: Final answer
    x = 25,843.86

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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.