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Finding the Fourth Proportional to 120,161.33, 165,825.47 and 66,447.39

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Solution

The fourth proportional to 120,161.33, 165,825.47 and 66,447.39 is: 91,698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,161.33 : 165,825.47 = 66,447.39 : x
  2. Step 2: Convert to fraction form
    120,161.33/165,825.47 = 66,447.39/x
  3. Step 3: Cross multiply
    120,161.33x = 165,825.47 × 66,447.39
  4. Step 4: Simplify right side
    120,161.33x = 11,018,669,344.79
  5. Step 5: Solve for x
    x = 11,018,669,344.79/120,161.33
  6. Step 6: Final answer
    x = 91,698.97

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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.