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Finding the Fourth Proportional to 100,398.84, 150,612.24 and 33,858

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Solution

The fourth proportional to 100,398.84, 150,612.24 and 33,858 is: 50,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,398.84 : 150,612.24 = 33,858 : x
  2. Step 2: Convert to fraction form
    100,398.84/150,612.24 = 33,858/x
  3. Step 3: Cross multiply
    100,398.84x = 150,612.24 × 33,858
  4. Step 4: Simplify right side
    100,398.84x = 5,099,429,221.92
  5. Step 5: Solve for x
    x = 5,099,429,221.92/100,398.84
  6. Step 6: Final answer
    x = 50,791.71

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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.