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Finding the Fourth Proportional to 57,208.80, 85,813.20 and 17,769.90

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Solution

The fourth proportional to 57,208.80, 85,813.20 and 17,769.90 is: 26,654.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,208.80 : 85,813.20 = 17,769.90 : x
  2. Step 2: Convert to fraction form
    57,208.80/85,813.20 = 17,769.90/x
  3. Step 3: Cross multiply
    57,208.80x = 85,813.20 × 17,769.90
  4. Step 4: Simplify right side
    57,208.80x = 1,524,891,982.68
  5. Step 5: Solve for x
    x = 1,524,891,982.68/57,208.80
  6. Step 6: Final answer
    x = 26,654.85

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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.