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Finding the Fourth Proportional to 55,471.80, 83,216.01 and 20,408.79

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Solution

The fourth proportional to 55,471.80, 83,216.01 and 20,408.79 is: 30,616.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,471.80 : 83,216.01 = 20,408.79 : x
  2. Step 2: Convert to fraction form
    55,471.80/83,216.01 = 20,408.79/x
  3. Step 3: Cross multiply
    55,471.80x = 83,216.01 × 20,408.79
  4. Step 4: Simplify right side
    55,471.80x = 1,698,338,072.73
  5. Step 5: Solve for x
    x = 1,698,338,072.73/55,471.80
  6. Step 6: Final answer
    x = 30,616.24

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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.