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Finding the Fourth Proportional to 64,500, 96,745.68 and 17,753.28

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Solution

The fourth proportional to 64,500, 96,745.68 and 17,753.28 is: 26,628.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,500 : 96,745.68 = 17,753.28 : x
  2. Step 2: Convert to fraction form
    64,500/96,745.68 = 17,753.28/x
  3. Step 3: Cross multiply
    64,500x = 96,745.68 × 17,753.28
  4. Step 4: Simplify right side
    64,500x = 1,717,553,145.83
  5. Step 5: Solve for x
    x = 1,717,553,145.83/64,500
  6. Step 6: Final answer
    x = 26,628.73

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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.