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Finding the Fourth Proportional to 218,504.58, 327,756.86 and 78,361.62

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Solution

The fourth proportional to 218,504.58, 327,756.86 and 78,361.62 is: 117,542.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,504.58 : 327,756.86 = 78,361.62 : x
  2. Step 2: Convert to fraction form
    218,504.58/327,756.86 = 78,361.62/x
  3. Step 3: Cross multiply
    218,504.58x = 327,756.86 × 78,361.62
  4. Step 4: Simplify right side
    218,504.58x = 25,683,558,515.71
  5. Step 5: Solve for x
    x = 25,683,558,515.71/218,504.58
  6. Step 6: Final answer
    x = 117,542.43

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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.