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Finding the Fourth Proportional to 149,812.42, 206,742.21 and 82,744.42

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Solution

The fourth proportional to 149,812.42, 206,742.21 and 82,744.42 is: 114,187.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,812.42 : 206,742.21 = 82,744.42 : x
  2. Step 2: Convert to fraction form
    149,812.42/206,742.21 = 82,744.42/x
  3. Step 3: Cross multiply
    149,812.42x = 206,742.21 × 82,744.42
  4. Step 4: Simplify right side
    149,812.42x = 17,106,764,255.97
  5. Step 5: Solve for x
    x = 17,106,764,255.97/149,812.42
  6. Step 6: Final answer
    x = 114,187.89

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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.