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Finding the Fourth Proportional to 132,689.25, 199,092.48 and 102,961.77

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Solution

The fourth proportional to 132,689.25, 199,092.48 and 102,961.77 is: 154,488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,689.25 : 199,092.48 = 102,961.77 : x
  2. Step 2: Convert to fraction form
    132,689.25/199,092.48 = 102,961.77/x
  3. Step 3: Cross multiply
    132,689.25x = 199,092.48 × 102,961.77
  4. Step 4: Simplify right side
    132,689.25x = 20,498,914,084.28
  5. Step 5: Solve for x
    x = 20,498,914,084.28/132,689.25
  6. Step 6: Final answer
    x = 154,488.13

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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.