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Finding the Fourth Proportional to 149,313, 206,051.94 and 82,245

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Solution

The fourth proportional to 149,313, 206,051.94 and 82,245 is: 113,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,313 : 206,051.94 = 82,245 : x
  2. Step 2: Convert to fraction form
    149,313/206,051.94 = 82,245/x
  3. Step 3: Cross multiply
    149,313x = 206,051.94 × 82,245
  4. Step 4: Simplify right side
    149,313x = 16,946,741,805.30
  5. Step 5: Solve for x
    x = 16,946,741,805.30/149,313
  6. Step 6: Final answer
    x = 113,498.10

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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.