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Finding the Fourth Proportional to 271,910.00, 407,906.37 and 138,717.51

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Solution

The fourth proportional to 271,910.00, 407,906.37 and 138,717.51 is: 208,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,910.00 : 407,906.37 = 138,717.51 : x
  2. Step 2: Convert to fraction form
    271,910.00/407,906.37 = 138,717.51/x
  3. Step 3: Cross multiply
    271,910.00x = 407,906.37 × 138,717.51
  4. Step 4: Simplify right side
    271,910.00x = 56,583,755,959.54
  5. Step 5: Solve for x
    x = 56,583,755,959.54/271,910.00
  6. Step 6: Final answer
    x = 208,097.37

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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.