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Finding the Fourth Proportional to 149,405.84, 206,180.09 and 81,422.83

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Solution

The fourth proportional to 149,405.84, 206,180.09 and 81,422.83 is: 112,363.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,405.84 : 206,180.09 = 81,422.83 : x
  2. Step 2: Convert to fraction form
    149,405.84/206,180.09 = 81,422.83/x
  3. Step 3: Cross multiply
    149,405.84x = 206,180.09 × 81,422.83
  4. Step 4: Simplify right side
    149,405.84x = 16,787,764,979.44
  5. Step 5: Solve for x
    x = 16,787,764,979.44/149,405.84
  6. Step 6: Final answer
    x = 112,363.52

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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.