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Finding the Fourth Proportional to 54,738.40, 82,010.40 and 51,239.20

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Solution

The fourth proportional to 54,738.40, 82,010.40 and 51,239.20 is: 76,767.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,738.40 : 82,010.40 = 51,239.20 : x
  2. Step 2: Convert to fraction form
    54,738.40/82,010.40 = 51,239.20/x
  3. Step 3: Cross multiply
    54,738.40x = 82,010.40 × 51,239.20
  4. Step 4: Simplify right side
    54,738.40x = 4,202,147,287.68
  5. Step 5: Solve for x
    x = 4,202,147,287.68/54,738.40
  6. Step 6: Final answer
    x = 76,767.81

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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.