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Finding the Fourth Proportional to 57,162.96, 85,757.19 and 17,720.40

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Solution

The fourth proportional to 57,162.96, 85,757.19 and 17,720.40 is: 26,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,162.96 : 85,757.19 = 17,720.40 : x
  2. Step 2: Convert to fraction form
    57,162.96/85,757.19 = 17,720.40/x
  3. Step 3: Cross multiply
    57,162.96x = 85,757.19 × 17,720.40
  4. Step 4: Simplify right side
    57,162.96x = 1,519,651,709.68
  5. Step 5: Solve for x
    x = 1,519,651,709.68/57,162.96
  6. Step 6: Final answer
    x = 26,584.55

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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.