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Finding the Fourth Proportional to 54,871.92, 75,723 and 29,721.48

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Solution

The fourth proportional to 54,871.92, 75,723 and 29,721.48 is: 41,015.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,871.92 : 75,723 = 29,721.48 : x
  2. Step 2: Convert to fraction form
    54,871.92/75,723 = 29,721.48/x
  3. Step 3: Cross multiply
    54,871.92x = 75,723 × 29,721.48
  4. Step 4: Simplify right side
    54,871.92x = 2,250,599,630.04
  5. Step 5: Solve for x
    x = 2,250,599,630.04/54,871.92
  6. Step 6: Final answer
    x = 41,015.51

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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.