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Finding the Fourth Proportional to 138,784.35, 208,175.85 and 33,603.33

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Solution

The fourth proportional to 138,784.35, 208,175.85 and 33,603.33 is: 50,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,784.35 : 208,175.85 = 33,603.33 : x
  2. Step 2: Convert to fraction form
    138,784.35/208,175.85 = 33,603.33/x
  3. Step 3: Cross multiply
    138,784.35x = 208,175.85 × 33,603.33
  4. Step 4: Simplify right side
    138,784.35x = 6,995,401,785.58
  5. Step 5: Solve for x
    x = 6,995,401,785.58/138,784.35
  6. Step 6: Final answer
    x = 50,404.83

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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.