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Finding the Fourth Proportional to 154,940.95, 213,839.96 and 86,961.97

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Solution

The fourth proportional to 154,940.95, 213,839.96 and 86,961.97 is: 120,019.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,940.95 : 213,839.96 = 86,961.97 : x
  2. Step 2: Convert to fraction form
    154,940.95/213,839.96 = 86,961.97/x
  3. Step 3: Cross multiply
    154,940.95x = 213,839.96 × 86,961.97
  4. Step 4: Simplify right side
    154,940.95x = 18,595,944,186.32
  5. Step 5: Solve for x
    x = 18,595,944,186.32/154,940.95
  6. Step 6: Final answer
    x = 120,019.56

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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.