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Finding the Fourth Proportional to 149,306.63, 206,043.17 and 82,238.63

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Solution

The fourth proportional to 149,306.63, 206,043.17 and 82,238.63 is: 113,489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,306.63 : 206,043.17 = 82,238.63 : x
  2. Step 2: Convert to fraction form
    149,306.63/206,043.17 = 82,238.63/x
  3. Step 3: Cross multiply
    149,306.63x = 206,043.17 × 82,238.63
  4. Step 4: Simplify right side
    149,306.63x = 16,944,706,580.25
  5. Step 5: Solve for x
    x = 16,944,706,580.25/149,306.63
  6. Step 6: Final answer
    x = 113,489.31

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1.5x scale

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.