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Finding the Fourth Proportional to 192,188.80, 287,894.40 and 133,091.20

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Solution

The fourth proportional to 192,188.80, 287,894.40 and 133,091.20 is: 199,367.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,188.80 : 287,894.40 = 133,091.20 : x
  2. Step 2: Convert to fraction form
    192,188.80/287,894.40 = 133,091.20/x
  3. Step 3: Cross multiply
    192,188.80x = 287,894.40 × 133,091.20
  4. Step 4: Simplify right side
    192,188.80x = 38,316,211,169.28
  5. Step 5: Solve for x
    x = 38,316,211,169.28/192,188.80
  6. Step 6: Final answer
    x = 199,367.56

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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.