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Finding the Fourth Proportional to 132,786, 198,711.36 and 82,889.64

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Solution

The fourth proportional to 132,786, 198,711.36 and 82,889.64 is: 124,042.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,786 : 198,711.36 = 82,889.64 : x
  2. Step 2: Convert to fraction form
    132,786/198,711.36 = 82,889.64/x
  3. Step 3: Cross multiply
    132,786x = 198,711.36 × 82,889.64
  4. Step 4: Simplify right side
    132,786x = 16,471,113,094.31
  5. Step 5: Solve for x
    x = 16,471,113,094.31/132,786
  6. Step 6: Final answer
    x = 124,042.54

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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.