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Finding the Fourth Proportional to 276,057.68, 414,183.72 and 135,914.72

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Solution

The fourth proportional to 276,057.68, 414,183.72 and 135,914.72 is: 203,919.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,057.68 : 414,183.72 = 135,914.72 : x
  2. Step 2: Convert to fraction form
    276,057.68/414,183.72 = 135,914.72/x
  3. Step 3: Cross multiply
    276,057.68x = 414,183.72 × 135,914.72
  4. Step 4: Simplify right side
    276,057.68x = 56,293,664,332.36
  5. Step 5: Solve for x
    x = 56,293,664,332.36/276,057.68
  6. Step 6: Final answer
    x = 203,919.94

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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.