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Finding the Fourth Proportional to 200,778.57, 277,027.97 and 120,175.47

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Solution

The fourth proportional to 200,778.57, 277,027.97 and 120,175.47 is: 165,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,778.57 : 277,027.97 = 120,175.47 : x
  2. Step 2: Convert to fraction form
    200,778.57/277,027.97 = 120,175.47/x
  3. Step 3: Cross multiply
    200,778.57x = 277,027.97 × 120,175.47
  4. Step 4: Simplify right side
    200,778.57x = 33,291,965,897.02
  5. Step 5: Solve for x
    x = 33,291,965,897.02/200,778.57
  6. Step 6: Final answer
    x = 165,814.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.