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Finding the Fourth Proportional to 218,830.80, 328,246.20 and 78,571.20

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Solution

The fourth proportional to 218,830.80, 328,246.20 and 78,571.20 is: 117,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,830.80 : 328,246.20 = 78,571.20 : x
  2. Step 2: Convert to fraction form
    218,830.80/328,246.20 = 78,571.20/x
  3. Step 3: Cross multiply
    218,830.80x = 328,246.20 × 78,571.20
  4. Step 4: Simplify right side
    218,830.80x = 25,790,697,829.44
  5. Step 5: Solve for x
    x = 25,790,697,829.44/218,830.80
  6. Step 6: Final answer
    x = 117,856.80

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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.