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Finding the Fourth Proportional to 80,505.83, 120,807.89 and 50,882.87

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Solution

The fourth proportional to 80,505.83, 120,807.89 and 50,882.87 is: 76,355.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,505.83 : 120,807.89 = 50,882.87 : x
  2. Step 2: Convert to fraction form
    80,505.83/120,807.89 = 50,882.87/x
  3. Step 3: Cross multiply
    80,505.83x = 120,807.89 × 50,882.87
  4. Step 4: Simplify right side
    80,505.83x = 6,147,052,161.84
  5. Step 5: Solve for x
    x = 6,147,052,161.84/80,505.83
  6. Step 6: Final answer
    x = 76,355.37

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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.