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Finding the Fourth Proportional to 36,162, 49,908.54 and 21,822.56

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Solution

The fourth proportional to 36,162, 49,908.54 and 21,822.56 is: 30,118.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,162 : 49,908.54 = 21,822.56 : x
  2. Step 2: Convert to fraction form
    36,162/49,908.54 = 21,822.56/x
  3. Step 3: Cross multiply
    36,162x = 49,908.54 × 21,822.56
  4. Step 4: Simplify right side
    36,162x = 1,089,132,108.66
  5. Step 5: Solve for x
    x = 1,089,132,108.66/36,162
  6. Step 6: Final answer
    x = 30,118.14

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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.