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Finding the Fourth Proportional to 120,193.09, 165,863.59 and 66,476.97

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Solution

The fourth proportional to 120,193.09, 165,863.59 and 66,476.97 is: 91,736.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,193.09 : 165,863.59 = 66,476.97 : x
  2. Step 2: Convert to fraction form
    120,193.09/165,863.59 = 66,476.97/x
  3. Step 3: Cross multiply
    120,193.09x = 165,863.59 × 66,476.97
  4. Step 4: Simplify right side
    120,193.09x = 11,026,108,730.33
  5. Step 5: Solve for x
    x = 11,026,108,730.33/120,193.09
  6. Step 6: Final answer
    x = 91,736.63

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1.5x scale

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.