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Finding the Fourth Proportional to 253,584.83, 380,414.33 and 76,105.87

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Solution

The fourth proportional to 253,584.83, 380,414.33 and 76,105.87 is: 114,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,584.83 : 380,414.33 = 76,105.87 : x
  2. Step 2: Convert to fraction form
    253,584.83/380,414.33 = 76,105.87/x
  3. Step 3: Cross multiply
    253,584.83x = 380,414.33 × 76,105.87
  4. Step 4: Simplify right side
    253,584.83x = 28,951,761,262.52
  5. Step 5: Solve for x
    x = 28,951,761,262.52/253,584.83
  6. Step 6: Final answer
    x = 114,169.93

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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.