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Finding the Fourth Proportional to 64,125, 96,197.84 and 19,751.73

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Solution

The fourth proportional to 64,125, 96,197.84 and 19,751.73 is: 29,630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,125 : 96,197.84 = 19,751.73 : x
  2. Step 2: Convert to fraction form
    64,125/96,197.84 = 19,751.73/x
  3. Step 3: Cross multiply
    64,125x = 96,197.84 × 19,751.73
  4. Step 4: Simplify right side
    64,125x = 1,900,073,663.50
  5. Step 5: Solve for x
    x = 1,900,073,663.50/64,125
  6. Step 6: Final answer
    x = 29,630.78

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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.