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Finding the Fourth Proportional to 120,268.49, 165,959.25 and 71,860.78

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Solution

The fourth proportional to 120,268.49, 165,959.25 and 71,860.78 is: 99,161.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,268.49 : 165,959.25 = 71,860.78 : x
  2. Step 2: Convert to fraction form
    120,268.49/165,959.25 = 71,860.78/x
  3. Step 3: Cross multiply
    120,268.49x = 165,959.25 × 71,860.78
  4. Step 4: Simplify right side
    120,268.49x = 11,925,961,091.19
  5. Step 5: Solve for x
    x = 11,925,961,091.19/120,268.49
  6. Step 6: Final answer
    x = 99,161.15

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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.