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Finding the Fourth Proportional to 270,633.92, 405,989.76 and 83,660

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Solution

The fourth proportional to 270,633.92, 405,989.76 and 83,660 is: 125,502.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,633.92 : 405,989.76 = 83,660 : x
  2. Step 2: Convert to fraction form
    270,633.92/405,989.76 = 83,660/x
  3. Step 3: Cross multiply
    270,633.92x = 405,989.76 × 83,660
  4. Step 4: Simplify right side
    270,633.92x = 33,965,103,321.60
  5. Step 5: Solve for x
    x = 33,965,103,321.60/270,633.92
  6. Step 6: Final answer
    x = 125,502.02

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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.