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Finding the Fourth Proportional to 119,859.41, 165,405.82 and 66,144.43

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Solution

The fourth proportional to 119,859.41, 165,405.82 and 66,144.43 is: 91,279.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,859.41 : 165,405.82 = 66,144.43 : x
  2. Step 2: Convert to fraction form
    119,859.41/165,405.82 = 66,144.43/x
  3. Step 3: Cross multiply
    119,859.41x = 165,405.82 × 66,144.43
  4. Step 4: Simplify right side
    119,859.41x = 10,940,673,682.58
  5. Step 5: Solve for x
    x = 10,940,673,682.58/119,859.41
  6. Step 6: Final answer
    x = 91,279.22

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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.