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Finding the Fourth Proportional to 192,021.80, 288,119.10 and 86,786.60

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Solution

The fourth proportional to 192,021.80, 288,119.10 and 86,786.60 is: 130,218.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,021.80 : 288,119.10 = 86,786.60 : x
  2. Step 2: Convert to fraction form
    192,021.80/288,119.10 = 86,786.60/x
  3. Step 3: Cross multiply
    192,021.80x = 288,119.10 × 86,786.60
  4. Step 4: Simplify right side
    192,021.80x = 25,004,877,084.06
  5. Step 5: Solve for x
    x = 25,004,877,084.06/192,021.80
  6. Step 6: Final answer
    x = 130,218.95

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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.