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Finding the Fourth Proportional to 54,871.32, 75,722.94 and 29,721

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Solution

The fourth proportional to 54,871.32, 75,722.94 and 29,721 is: 41,015.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,871.32 : 75,722.94 = 29,721 : x
  2. Step 2: Convert to fraction form
    54,871.32/75,722.94 = 29,721/x
  3. Step 3: Cross multiply
    54,871.32x = 75,722.94 × 29,721
  4. Step 4: Simplify right side
    54,871.32x = 2,250,561,499.74
  5. Step 5: Solve for x
    x = 2,250,561,499.74/54,871.32
  6. Step 6: Final answer
    x = 41,015.26

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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.