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Finding the Fourth Proportional to 281,101.97, 421,791.47 and 131,352.61

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Solution

The fourth proportional to 281,101.97, 421,791.47 and 131,352.61 is: 197,093.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,101.97 : 421,791.47 = 131,352.61 : x
  2. Step 2: Convert to fraction form
    281,101.97/421,791.47 = 131,352.61/x
  3. Step 3: Cross multiply
    281,101.97x = 421,791.47 × 131,352.61
  4. Step 4: Simplify right side
    281,101.97x = 55,403,410,460.24
  5. Step 5: Solve for x
    x = 55,403,410,460.24/281,101.97
  6. Step 6: Final answer
    x = 197,093.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.