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Finding the Fourth Proportional to 55,169.48, 82,763.94 and 21,889.82

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Solution

The fourth proportional to 55,169.48, 82,763.94 and 21,889.82 is: 32,838.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,169.48 : 82,763.94 = 21,889.82 : x
  2. Step 2: Convert to fraction form
    55,169.48/82,763.94 = 21,889.82/x
  3. Step 3: Cross multiply
    55,169.48x = 82,763.94 × 21,889.82
  4. Step 4: Simplify right side
    55,169.48x = 1,811,687,749.09
  5. Step 5: Solve for x
    x = 1,811,687,749.09/55,169.48
  6. Step 6: Final answer
    x = 32,838.59

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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.