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Finding the Fourth Proportional to 218,878.80, 328,318.20 and 78,619.20

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Solution

The fourth proportional to 218,878.80, 328,318.20 and 78,619.20 is: 117,928.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,878.80 : 328,318.20 = 78,619.20 : x
  2. Step 2: Convert to fraction form
    218,878.80/328,318.20 = 78,619.20/x
  3. Step 3: Cross multiply
    218,878.80x = 328,318.20 × 78,619.20
  4. Step 4: Simplify right side
    218,878.80x = 25,812,114,229.44
  5. Step 5: Solve for x
    x = 25,812,114,229.44/218,878.80
  6. Step 6: Final answer
    x = 117,928.80

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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.