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Finding the Fourth Proportional to 54,871.70, 75,722.88 and 29,721.20

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Solution

The fourth proportional to 54,871.70, 75,722.88 and 29,721.20 is: 41,015.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,871.70 : 75,722.88 = 29,721.20 : x
  2. Step 2: Convert to fraction form
    54,871.70/75,722.88 = 29,721.20/x
  3. Step 3: Cross multiply
    54,871.70x = 75,722.88 × 29,721.20
  4. Step 4: Simplify right side
    54,871.70x = 2,250,574,861.06
  5. Step 5: Solve for x
    x = 2,250,574,861.06/54,871.70
  6. Step 6: Final answer
    x = 41,015.22

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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.