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Finding the Fourth Proportional to 148,031.88, 204,288.87 and 80,963.88

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Solution

The fourth proportional to 148,031.88, 204,288.87 and 80,963.88 is: 111,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,031.88 : 204,288.87 = 80,963.88 : x
  2. Step 2: Convert to fraction form
    148,031.88/204,288.87 = 80,963.88/x
  3. Step 3: Cross multiply
    148,031.88x = 204,288.87 × 80,963.88
  4. Step 4: Simplify right side
    148,031.88x = 16,540,019,556.02
  5. Step 5: Solve for x
    x = 16,540,019,556.02/148,031.88
  6. Step 6: Final answer
    x = 111,732.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.