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Finding the Fourth Proportional to 311,805.72, 467,661.60 and 87,142.56

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Solution

The fourth proportional to 311,805.72, 467,661.60 and 87,142.56 is: 130,700.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,805.72 : 467,661.60 = 87,142.56 : x
  2. Step 2: Convert to fraction form
    311,805.72/467,661.60 = 87,142.56/x
  3. Step 3: Cross multiply
    311,805.72x = 467,661.60 × 87,142.56
  4. Step 4: Simplify right side
    311,805.72x = 40,753,229,037.70
  5. Step 5: Solve for x
    x = 40,753,229,037.70/311,805.72
  6. Step 6: Final answer
    x = 130,700.71

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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.