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Finding the Fourth Proportional to 55,506.74, 83,221.17 and 20,441.90

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Solution

The fourth proportional to 55,506.74, 83,221.17 and 20,441.90 is: 30,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,506.74 : 83,221.17 = 20,441.90 : x
  2. Step 2: Convert to fraction form
    55,506.74/83,221.17 = 20,441.90/x
  3. Step 3: Cross multiply
    55,506.74x = 83,221.17 × 20,441.90
  4. Step 4: Simplify right side
    55,506.74x = 1,701,198,835.02
  5. Step 5: Solve for x
    x = 1,701,198,835.02/55,506.74
  6. Step 6: Final answer
    x = 30,648.51

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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.