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Finding the Fourth Proportional to 218,711.80, 328,067.70 and 78,452.20

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Solution

The fourth proportional to 218,711.80, 328,067.70 and 78,452.20 is: 117,678.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,711.80 : 328,067.70 = 78,452.20 : x
  2. Step 2: Convert to fraction form
    218,711.80/328,067.70 = 78,452.20/x
  3. Step 3: Cross multiply
    218,711.80x = 328,067.70 × 78,452.20
  4. Step 4: Simplify right side
    218,711.80x = 25,737,632,813.94
  5. Step 5: Solve for x
    x = 25,737,632,813.94/218,711.80
  6. Step 6: Final answer
    x = 117,678.30

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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.