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Finding the Fourth Proportional to 205,870.80, 308,806.20 and 81,195.60

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Solution

The fourth proportional to 205,870.80, 308,806.20 and 81,195.60 is: 121,793.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,870.80 : 308,806.20 = 81,195.60 : x
  2. Step 2: Convert to fraction form
    205,870.80/308,806.20 = 81,195.60/x
  3. Step 3: Cross multiply
    205,870.80x = 308,806.20 × 81,195.60
  4. Step 4: Simplify right side
    205,870.80x = 25,073,704,692.72
  5. Step 5: Solve for x
    x = 25,073,704,692.72/205,870.80
  6. Step 6: Final answer
    x = 121,793.40

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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.