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Finding the Fourth Proportional to 55,274.81, 82,912.22 and 13,721.81

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Solution

The fourth proportional to 55,274.81, 82,912.22 and 13,721.81 is: 20,582.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,274.81 : 82,912.22 = 13,721.81 : x
  2. Step 2: Convert to fraction form
    55,274.81/82,912.22 = 13,721.81/x
  3. Step 3: Cross multiply
    55,274.81x = 82,912.22 × 13,721.81
  4. Step 4: Simplify right side
    55,274.81x = 1,137,705,660.91
  5. Step 5: Solve for x
    x = 1,137,705,660.91/55,274.81
  6. Step 6: Final answer
    x = 20,582.72

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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.