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Finding the Fourth Proportional to 149,049, 205,690.28 and 81,067.48

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Solution

The fourth proportional to 149,049, 205,690.28 and 81,067.48 is: 111,874.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,049 : 205,690.28 = 81,067.48 : x
  2. Step 2: Convert to fraction form
    149,049/205,690.28 = 81,067.48/x
  3. Step 3: Cross multiply
    149,049x = 205,690.28 × 81,067.48
  4. Step 4: Simplify right side
    149,049x = 16,674,792,660.09
  5. Step 5: Solve for x
    x = 16,674,792,660.09/149,049
  6. Step 6: Final answer
    x = 111,874.57

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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.