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Finding the Fourth Proportional to 180,515.48, 270,581.22 and 68,147.96

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Solution

The fourth proportional to 180,515.48, 270,581.22 and 68,147.96 is: 102,149.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,515.48 : 270,581.22 = 68,147.96 : x
  2. Step 2: Convert to fraction form
    180,515.48/270,581.22 = 68,147.96/x
  3. Step 3: Cross multiply
    180,515.48x = 270,581.22 × 68,147.96
  4. Step 4: Simplify right side
    180,515.48x = 18,439,558,157.31
  5. Step 5: Solve for x
    x = 18,439,558,157.31/180,515.48
  6. Step 6: Final answer
    x = 102,149.46

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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.