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Finding the Fourth Proportional to 215,915.10, 323,872.65 and 110,939.10

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Solution

The fourth proportional to 215,915.10, 323,872.65 and 110,939.10 is: 166,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,915.10 : 323,872.65 = 110,939.10 : x
  2. Step 2: Convert to fraction form
    215,915.10/323,872.65 = 110,939.10/x
  3. Step 3: Cross multiply
    215,915.10x = 323,872.65 × 110,939.10
  4. Step 4: Simplify right side
    215,915.10x = 35,930,140,305.62
  5. Step 5: Solve for x
    x = 35,930,140,305.62/215,915.10
  6. Step 6: Final answer
    x = 166,408.65

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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.