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Finding the Fourth Proportional to 214,881.62, 322,380.75 and 65,115.86

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Solution

The fourth proportional to 214,881.62, 322,380.75 and 65,115.86 is: 97,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,881.62 : 322,380.75 = 65,115.86 : x
  2. Step 2: Convert to fraction form
    214,881.62/322,380.75 = 65,115.86/x
  3. Step 3: Cross multiply
    214,881.62x = 322,380.75 × 65,115.86
  4. Step 4: Simplify right side
    214,881.62x = 20,992,099,783.70
  5. Step 5: Solve for x
    x = 20,992,099,783.70/214,881.62
  6. Step 6: Final answer
    x = 97,691.46

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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.