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Finding the Fourth Proportional to 216,371.97, 324,759.78 and 109,831.59

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Solution

The fourth proportional to 216,371.97, 324,759.78 and 109,831.59 is: 164,849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,371.97 : 324,759.78 = 109,831.59 : x
  2. Step 2: Convert to fraction form
    216,371.97/324,759.78 = 109,831.59/x
  3. Step 3: Cross multiply
    216,371.97x = 324,759.78 × 109,831.59
  4. Step 4: Simplify right side
    216,371.97x = 35,668,883,005.45
  5. Step 5: Solve for x
    x = 35,668,883,005.45/216,371.97
  6. Step 6: Final answer
    x = 164,849.83

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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.