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Finding the Fourth Proportional to 132,198.88, 198,256.28 and 43,431.84

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Solution

The fourth proportional to 132,198.88, 198,256.28 and 43,431.84 is: 65,133.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,198.88 : 198,256.28 = 43,431.84 : x
  2. Step 2: Convert to fraction form
    132,198.88/198,256.28 = 43,431.84/x
  3. Step 3: Cross multiply
    132,198.88x = 198,256.28 × 43,431.84
  4. Step 4: Simplify right side
    132,198.88x = 8,610,635,031.96
  5. Step 5: Solve for x
    x = 8,610,635,031.96/132,198.88
  6. Step 6: Final answer
    x = 65,133.95

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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.