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Finding the Fourth Proportional to 149,554, 206,399.10 and 82,486

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Solution

The fourth proportional to 149,554, 206,399.10 and 82,486 is: 113,838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,554 : 206,399.10 = 82,486 : x
  2. Step 2: Convert to fraction form
    149,554/206,399.10 = 82,486/x
  3. Step 3: Cross multiply
    149,554x = 206,399.10 × 82,486
  4. Step 4: Simplify right side
    149,554x = 17,025,036,162.60
  5. Step 5: Solve for x
    x = 17,025,036,162.60/149,554
  6. Step 6: Final answer
    x = 113,838.72

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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.