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Finding the Fourth Proportional to 201,385.07, 277,906.86 and 109,502.36

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Solution

The fourth proportional to 201,385.07, 277,906.86 and 109,502.36 is: 151,110.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,385.07 : 277,906.86 = 109,502.36 : x
  2. Step 2: Convert to fraction form
    201,385.07/277,906.86 = 109,502.36/x
  3. Step 3: Cross multiply
    201,385.07x = 277,906.86 × 109,502.36
  4. Step 4: Simplify right side
    201,385.07x = 30,431,455,640.66
  5. Step 5: Solve for x
    x = 30,431,455,640.66/201,385.07
  6. Step 6: Final answer
    x = 151,110.79

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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.