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Finding the Fourth Proportional to 120,335.82, 166,065.84 and 71,987.61

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Solution

The fourth proportional to 120,335.82, 166,065.84 and 71,987.61 is: 99,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,335.82 : 166,065.84 = 71,987.61 : x
  2. Step 2: Convert to fraction form
    120,335.82/166,065.84 = 71,987.61/x
  3. Step 3: Cross multiply
    120,335.82x = 166,065.84 × 71,987.61
  4. Step 4: Simplify right side
    120,335.82x = 11,954,682,924.24
  5. Step 5: Solve for x
    x = 11,954,682,924.24/120,335.82
  6. Step 6: Final answer
    x = 99,344.34

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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.