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Finding the Fourth Proportional to 57,211.80, 85,824.10 and 17,768.60

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Solution

The fourth proportional to 57,211.80, 85,824.10 and 17,768.60 is: 26,654.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,211.80 : 85,824.10 = 17,768.60 : x
  2. Step 2: Convert to fraction form
    57,211.80/85,824.10 = 17,768.60/x
  3. Step 3: Cross multiply
    57,211.80x = 85,824.10 × 17,768.60
  4. Step 4: Simplify right side
    57,211.80x = 1,524,974,103.26
  5. Step 5: Solve for x
    x = 1,524,974,103.26/57,211.80
  6. Step 6: Final answer
    x = 26,654.89

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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.