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Finding the Fourth Proportional to 149,561.81, 206,392.01 and 82,493.81

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Solution

The fourth proportional to 149,561.81, 206,392.01 and 82,493.81 is: 113,839.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,561.81 : 206,392.01 = 82,493.81 : x
  2. Step 2: Convert to fraction form
    149,561.81/206,392.01 = 82,493.81/x
  3. Step 3: Cross multiply
    149,561.81x = 206,392.01 × 82,493.81
  4. Step 4: Simplify right side
    149,561.81x = 17,026,062,432.73
  5. Step 5: Solve for x
    x = 17,026,062,432.73/149,561.81
  6. Step 6: Final answer
    x = 113,839.64

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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.