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Finding the Fourth Proportional to 192,459.78, 288,701.46 and 74,131.47

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Solution

The fourth proportional to 192,459.78, 288,701.46 and 74,131.47 is: 111,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,459.78 : 288,701.46 = 74,131.47 : x
  2. Step 2: Convert to fraction form
    192,459.78/288,701.46 = 74,131.47/x
  3. Step 3: Cross multiply
    192,459.78x = 288,701.46 × 74,131.47
  4. Step 4: Simplify right side
    192,459.78x = 21,401,863,620.95
  5. Step 5: Solve for x
    x = 21,401,863,620.95/192,459.78
  6. Step 6: Final answer
    x = 111,201.75

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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.