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Finding the Fourth Proportional to 149,364, 206,122.96 and 82,294.56

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Solution

The fourth proportional to 149,364, 206,122.96 and 82,294.56 is: 113,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,364 : 206,122.96 = 82,294.56 : x
  2. Step 2: Convert to fraction form
    149,364/206,122.96 = 82,294.56/x
  3. Step 3: Cross multiply
    149,364x = 206,122.96 × 82,294.56
  4. Step 4: Simplify right side
    149,364x = 16,962,798,299.10
  5. Step 5: Solve for x
    x = 16,962,798,299.10/149,364
  6. Step 6: Final answer
    x = 113,566.85

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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.