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Finding the Fourth Proportional to 218,491.94, 327,738.96 and 76,336.61

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Solution

The fourth proportional to 218,491.94, 327,738.96 and 76,336.61 is: 114,505.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,491.94 : 327,738.96 = 76,336.61 : x
  2. Step 2: Convert to fraction form
    218,491.94/327,738.96 = 76,336.61/x
  3. Step 3: Cross multiply
    218,491.94x = 327,738.96 × 76,336.61
  4. Step 4: Simplify right side
    218,491.94x = 25,018,479,532.63
  5. Step 5: Solve for x
    x = 25,018,479,532.63/218,491.94
  6. Step 6: Final answer
    x = 114,505.27

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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.