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Finding the Fourth Proportional to 270,635.92, 405,992.76 and 83,662

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Solution

The fourth proportional to 270,635.92, 405,992.76 and 83,662 is: 125,505.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,635.92 : 405,992.76 = 83,662 : x
  2. Step 2: Convert to fraction form
    270,635.92/405,992.76 = 83,662/x
  3. Step 3: Cross multiply
    270,635.92x = 405,992.76 × 83,662
  4. Step 4: Simplify right side
    270,635.92x = 33,966,166,287.12
  5. Step 5: Solve for x
    x = 33,966,166,287.12/270,635.92
  6. Step 6: Final answer
    x = 125,505.02

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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.