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Finding the Fourth Proportional to 192,163.80, 288,332.10 and 86,928.60

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Solution

The fourth proportional to 192,163.80, 288,332.10 and 86,928.60 is: 130,431.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,163.80 : 288,332.10 = 86,928.60 : x
  2. Step 2: Convert to fraction form
    192,163.80/288,332.10 = 86,928.60/x
  3. Step 3: Cross multiply
    192,163.80x = 288,332.10 × 86,928.60
  4. Step 4: Simplify right side
    192,163.80x = 25,064,305,788.06
  5. Step 5: Solve for x
    x = 25,064,305,788.06/192,163.80
  6. Step 6: Final answer
    x = 130,431.98

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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.