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Finding the Fourth Proportional to 192,658.60, 288,990.03 and 86,047.97

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Solution

The fourth proportional to 192,658.60, 288,990.03 and 86,047.97 is: 129,072.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,658.60 : 288,990.03 = 86,047.97 : x
  2. Step 2: Convert to fraction form
    192,658.60/288,990.03 = 86,047.97/x
  3. Step 3: Cross multiply
    192,658.60x = 288,990.03 × 86,047.97
  4. Step 4: Simplify right side
    192,658.60x = 24,867,005,451.02
  5. Step 5: Solve for x
    x = 24,867,005,451.02/192,658.60
  6. Step 6: Final answer
    x = 129,072.91

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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.