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Finding the Fourth Proportional to 119,706.75, 165,195.81 and 65,990.58

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Solution

The fourth proportional to 119,706.75, 165,195.81 and 65,990.58 is: 91,067.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,706.75 : 165,195.81 = 65,990.58 : x
  2. Step 2: Convert to fraction form
    119,706.75/165,195.81 = 65,990.58/x
  3. Step 3: Cross multiply
    119,706.75x = 165,195.81 × 65,990.58
  4. Step 4: Simplify right side
    119,706.75x = 10,901,367,315.47
  5. Step 5: Solve for x
    x = 10,901,367,315.47/119,706.75
  6. Step 6: Final answer
    x = 91,067.27

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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.