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Finding the Fourth Proportional to 149,149.59, 205,826.43 and 82,081.59

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Solution

The fourth proportional to 149,149.59, 205,826.43 and 82,081.59 is: 113,272.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,149.59 : 205,826.43 = 82,081.59 : x
  2. Step 2: Convert to fraction form
    149,149.59/205,826.43 = 82,081.59/x
  3. Step 3: Cross multiply
    149,149.59x = 205,826.43 × 82,081.59
  4. Step 4: Simplify right side
    149,149.59x = 16,894,560,638.42
  5. Step 5: Solve for x
    x = 16,894,560,638.42/149,149.59
  6. Step 6: Final answer
    x = 113,272.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.