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Finding the Fourth Proportional to 276,750.28, 414,976.94 and 87,175.24

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Solution

The fourth proportional to 276,750.28, 414,976.94 and 87,175.24 is: 130,716.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,750.28 : 414,976.94 = 87,175.24 : x
  2. Step 2: Convert to fraction form
    276,750.28/414,976.94 = 87,175.24/x
  3. Step 3: Cross multiply
    276,750.28x = 414,976.94 × 87,175.24
  4. Step 4: Simplify right side
    276,750.28x = 36,175,714,338.97
  5. Step 5: Solve for x
    x = 36,175,714,338.97/276,750.28
  6. Step 6: Final answer
    x = 130,716.09

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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.