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Finding the Fourth Proportional to 64,321.56, 96,496.20 and 19,947.42

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Solution

The fourth proportional to 64,321.56, 96,496.20 and 19,947.42 is: 29,925.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,321.56 : 96,496.20 = 19,947.42 : x
  2. Step 2: Convert to fraction form
    64,321.56/96,496.20 = 19,947.42/x
  3. Step 3: Cross multiply
    64,321.56x = 96,496.20 × 19,947.42
  4. Step 4: Simplify right side
    64,321.56x = 1,924,850,229.80
  5. Step 5: Solve for x
    x = 1,924,850,229.80/64,321.56
  6. Step 6: Final answer
    x = 29,925.43

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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.