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Finding the Fourth Proportional to 192,186.80, 287,891.40 and 133,089.20

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Solution

The fourth proportional to 192,186.80, 287,891.40 and 133,089.20 is: 199,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,186.80 : 287,891.40 = 133,089.20 : x
  2. Step 2: Convert to fraction form
    192,186.80/287,891.40 = 133,089.20/x
  3. Step 3: Cross multiply
    192,186.80x = 287,891.40 × 133,089.20
  4. Step 4: Simplify right side
    192,186.80x = 38,315,236,112.88
  5. Step 5: Solve for x
    x = 38,315,236,112.88/192,186.80
  6. Step 6: Final answer
    x = 199,364.56

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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.