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Finding the Fourth Proportional to 218,355.20, 327,515.52 and 78,099.20

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Solution

The fourth proportional to 218,355.20, 327,515.52 and 78,099.20 is: 117,142.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,355.20 : 327,515.52 = 78,099.20 : x
  2. Step 2: Convert to fraction form
    218,355.20/327,515.52 = 78,099.20/x
  3. Step 3: Cross multiply
    218,355.20x = 327,515.52 × 78,099.20
  4. Step 4: Simplify right side
    218,355.20x = 25,578,700,099.58
  5. Step 5: Solve for x
    x = 25,578,700,099.58/218,355.20
  6. Step 6: Final answer
    x = 117,142.62

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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.