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Finding the Fourth Proportional to 216,571.91, 324,913.22 and 83,416.41

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Solution

The fourth proportional to 216,571.91, 324,913.22 and 83,416.41 is: 125,145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,571.91 : 324,913.22 = 83,416.41 : x
  2. Step 2: Convert to fraction form
    216,571.91/324,913.22 = 83,416.41/x
  3. Step 3: Cross multiply
    216,571.91x = 324,913.22 × 83,416.41
  4. Step 4: Simplify right side
    216,571.91x = 27,103,093,956.86
  5. Step 5: Solve for x
    x = 27,103,093,956.86/216,571.91
  6. Step 6: Final answer
    x = 125,145.94

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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.