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Finding the Fourth Proportional to 151,383.44, 208,906.44 and 84,314

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Solution

The fourth proportional to 151,383.44, 208,906.44 and 84,314 is: 116,351.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,383.44 : 208,906.44 = 84,314 : x
  2. Step 2: Convert to fraction form
    151,383.44/208,906.44 = 84,314/x
  3. Step 3: Cross multiply
    151,383.44x = 208,906.44 × 84,314
  4. Step 4: Simplify right side
    151,383.44x = 17,613,737,582.16
  5. Step 5: Solve for x
    x = 17,613,737,582.16/151,383.44
  6. Step 6: Final answer
    x = 116,351.81

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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.