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Finding the Fourth Proportional to 180,611.92, 270,786.66 and 75,460.96

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Solution

The fourth proportional to 180,611.92, 270,786.66 and 75,460.96 is: 113,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,611.92 : 270,786.66 = 75,460.96 : x
  2. Step 2: Convert to fraction form
    180,611.92/270,786.66 = 75,460.96/x
  3. Step 3: Cross multiply
    180,611.92x = 270,786.66 × 75,460.96
  4. Step 4: Simplify right side
    180,611.92x = 20,433,821,318.79
  5. Step 5: Solve for x
    x = 20,433,821,318.79/180,611.92
  6. Step 6: Final answer
    x = 113,136.62

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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.