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Finding the Fourth Proportional to 270,132.68, 405,204.24 and 83,144

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Solution

The fourth proportional to 270,132.68, 405,204.24 and 83,144 is: 124,717.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,132.68 : 405,204.24 = 83,144 : x
  2. Step 2: Convert to fraction form
    270,132.68/405,204.24 = 83,144/x
  3. Step 3: Cross multiply
    270,132.68x = 405,204.24 × 83,144
  4. Step 4: Simplify right side
    270,132.68x = 33,690,301,330.56
  5. Step 5: Solve for x
    x = 33,690,301,330.56/270,132.68
  6. Step 6: Final answer
    x = 124,717.61

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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.