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Finding the Fourth Proportional to 36,048, 49,745.72 and 20,132.68

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Solution

The fourth proportional to 36,048, 49,745.72 and 20,132.68 is: 27,782.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,048 : 49,745.72 = 20,132.68 : x
  2. Step 2: Convert to fraction form
    36,048/49,745.72 = 20,132.68/x
  3. Step 3: Cross multiply
    36,048x = 49,745.72 × 20,132.68
  4. Step 4: Simplify right side
    36,048x = 1,001,514,662.13
  5. Step 5: Solve for x
    x = 1,001,514,662.13/36,048
  6. Step 6: Final answer
    x = 27,782.81

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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.