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Finding the Fourth Proportional to 218,783.80, 328,175.70 and 78,556.60

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Solution

The fourth proportional to 218,783.80, 328,175.70 and 78,556.60 is: 117,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,783.80 : 328,175.70 = 78,556.60 : x
  2. Step 2: Convert to fraction form
    218,783.80/328,175.70 = 78,556.60/x
  3. Step 3: Cross multiply
    218,783.80x = 328,175.70 × 78,556.60
  4. Step 4: Simplify right side
    218,783.80x = 25,780,367,194.62
  5. Step 5: Solve for x
    x = 25,780,367,194.62/218,783.80
  6. Step 6: Final answer
    x = 117,834.90

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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.