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Finding the Fourth Proportional to 192,021.20, 287,902.20 and 102,078.80

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Solution

The fourth proportional to 192,021.20, 287,902.20 and 102,078.80 is: 153,049.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,021.20 : 287,902.20 = 102,078.80 : x
  2. Step 2: Convert to fraction form
    192,021.20/287,902.20 = 102,078.80/x
  3. Step 3: Cross multiply
    192,021.20x = 287,902.20 × 102,078.80
  4. Step 4: Simplify right side
    192,021.20x = 29,388,711,093.36
  5. Step 5: Solve for x
    x = 29,388,711,093.36/192,021.20
  6. Step 6: Final answer
    x = 153,049.30

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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.