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Finding the Fourth Proportional to 215,644.96, 323,516.65 and 65,906.54

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Solution

The fourth proportional to 215,644.96, 323,516.65 and 65,906.54 is: 98,874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,644.96 : 323,516.65 = 65,906.54 : x
  2. Step 2: Convert to fraction form
    215,644.96/323,516.65 = 65,906.54/x
  3. Step 3: Cross multiply
    215,644.96x = 323,516.65 × 65,906.54
  4. Step 4: Simplify right side
    215,644.96x = 21,321,863,033.89
  5. Step 5: Solve for x
    x = 21,321,863,033.89/215,644.96
  6. Step 6: Final answer
    x = 98,874.85

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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.