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Finding the Fourth Proportional to 100,654.78, 138,906.27 and 54,717.51

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Solution

The fourth proportional to 100,654.78, 138,906.27 and 54,717.51 is: 75,511.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,654.78 : 138,906.27 = 54,717.51 : x
  2. Step 2: Convert to fraction form
    100,654.78/138,906.27 = 54,717.51/x
  3. Step 3: Cross multiply
    100,654.78x = 138,906.27 × 54,717.51
  4. Step 4: Simplify right side
    100,654.78x = 7,600,605,217.79
  5. Step 5: Solve for x
    x = 7,600,605,217.79/100,654.78
  6. Step 6: Final answer
    x = 75,511.62

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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.