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Finding the Fourth Proportional to 270,180, 405,270 and 73,188

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Solution

The fourth proportional to 270,180, 405,270 and 73,188 is: 109,782

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,180 : 405,270 = 73,188 : x
  2. Step 2: Convert to fraction form
    270,180/405,270 = 73,188/x
  3. Step 3: Cross multiply
    270,180x = 405,270 × 73,188
  4. Step 4: Simplify right side
    270,180x = 29,660,900,760
  5. Step 5: Solve for x
    x = 29,660,900,760/270,180
  6. Step 6: Final answer
    x = 109,782

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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.