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Finding the Fourth Proportional to 165,250.48, 247,831.44 and 71,734

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Solution

The fourth proportional to 165,250.48, 247,831.44 and 71,734 is: 107,581.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,250.48 : 247,831.44 = 71,734 : x
  2. Step 2: Convert to fraction form
    165,250.48/247,831.44 = 71,734/x
  3. Step 3: Cross multiply
    165,250.48x = 247,831.44 × 71,734
  4. Step 4: Simplify right side
    165,250.48x = 17,777,940,516.96
  5. Step 5: Solve for x
    x = 17,777,940,516.96/165,250.48
  6. Step 6: Final answer
    x = 107,581.78

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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.