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Finding the Fourth Proportional to 215,234.58, 322,863.35 and 65,463.42

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Solution

The fourth proportional to 215,234.58, 322,863.35 and 65,463.42 is: 98,198.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,234.58 : 322,863.35 = 65,463.42 : x
  2. Step 2: Convert to fraction form
    215,234.58/322,863.35 = 65,463.42/x
  3. Step 3: Cross multiply
    215,234.58x = 322,863.35 × 65,463.42
  4. Step 4: Simplify right side
    215,234.58x = 21,135,738,756.34
  5. Step 5: Solve for x
    x = 21,135,738,756.34/215,234.58
  6. Step 6: Final answer
    x = 98,198.62

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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.