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Finding the Fourth Proportional to 137,716.61, 206,576.73 and 78,481.71

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Solution

The fourth proportional to 137,716.61, 206,576.73 and 78,481.71 is: 117,723.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,716.61 : 206,576.73 = 78,481.71 : x
  2. Step 2: Convert to fraction form
    137,716.61/206,576.73 = 78,481.71/x
  3. Step 3: Cross multiply
    137,716.61x = 206,576.73 × 78,481.71
  4. Step 4: Simplify right side
    137,716.61x = 16,212,495,016.61
  5. Step 5: Solve for x
    x = 16,212,495,016.61/137,716.61
  6. Step 6: Final answer
    x = 117,723.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.