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Finding the Fourth Proportional to 149,396.59, 206,164.71 and 81,414.15

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Solution

The fourth proportional to 149,396.59, 206,164.71 and 81,414.15 is: 112,350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,396.59 : 206,164.71 = 81,414.15 : x
  2. Step 2: Convert to fraction form
    149,396.59/206,164.71 = 81,414.15/x
  3. Step 3: Cross multiply
    149,396.59x = 206,164.71 × 81,414.15
  4. Step 4: Simplify right side
    149,396.59x = 16,784,724,624.65
  5. Step 5: Solve for x
    x = 16,784,724,624.65/149,396.59
  6. Step 6: Final answer
    x = 112,350.12

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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.