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Finding the Fourth Proportional to 215,451, 323,176.50 and 75,171.96

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Solution

The fourth proportional to 215,451, 323,176.50 and 75,171.96 is: 112,757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,451 : 323,176.50 = 75,171.96 : x
  2. Step 2: Convert to fraction form
    215,451/323,176.50 = 75,171.96/x
  3. Step 3: Cross multiply
    215,451x = 323,176.50 × 75,171.96
  4. Step 4: Simplify right side
    215,451x = 24,293,810,930.94
  5. Step 5: Solve for x
    x = 24,293,810,930.94/215,451
  6. Step 6: Final answer
    x = 112,757.94

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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.