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Finding the Fourth Proportional to 54,770.56, 82,167.81 and 21,493.60

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Solution

The fourth proportional to 54,770.56, 82,167.81 and 21,493.60 is: 32,245.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,770.56 : 82,167.81 = 21,493.60 : x
  2. Step 2: Convert to fraction form
    54,770.56/82,167.81 = 21,493.60/x
  3. Step 3: Cross multiply
    54,770.56x = 82,167.81 × 21,493.60
  4. Step 4: Simplify right side
    54,770.56x = 1,766,082,041.02
  5. Step 5: Solve for x
    x = 1,766,082,041.02/54,770.56
  6. Step 6: Final answer
    x = 32,245.10

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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.