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Finding the Fourth Proportional to 192,839.88, 288,761.40 and 133,052.70

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Solution

The fourth proportional to 192,839.88, 288,761.40 and 133,052.70 is: 199,235.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,839.88 : 288,761.40 = 133,052.70 : x
  2. Step 2: Convert to fraction form
    192,839.88/288,761.40 = 133,052.70/x
  3. Step 3: Cross multiply
    192,839.88x = 288,761.40 × 133,052.70
  4. Step 4: Simplify right side
    192,839.88x = 38,420,483,925.78
  5. Step 5: Solve for x
    x = 38,420,483,925.78/192,839.88
  6. Step 6: Final answer
    x = 199,235.16

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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.