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Finding the Fourth Proportional to 277,761.21, 416,555.87 and 100,245.75

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Solution

The fourth proportional to 277,761.21, 416,555.87 and 100,245.75 is: 150,337.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,761.21 : 416,555.87 = 100,245.75 : x
  2. Step 2: Convert to fraction form
    277,761.21/416,555.87 = 100,245.75/x
  3. Step 3: Cross multiply
    277,761.21x = 416,555.87 × 100,245.75
  4. Step 4: Simplify right side
    277,761.21x = 41,757,955,103.82
  5. Step 5: Solve for x
    x = 41,757,955,103.82/277,761.21
  6. Step 6: Final answer
    x = 150,337.61

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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.