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Finding the Fourth Proportional to 137,394.54, 206,104.86 and 42,625.76

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Solution

The fourth proportional to 137,394.54, 206,104.86 and 42,625.76 is: 63,942.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,394.54 : 206,104.86 = 42,625.76 : x
  2. Step 2: Convert to fraction form
    137,394.54/206,104.86 = 42,625.76/x
  3. Step 3: Cross multiply
    137,394.54x = 206,104.86 × 42,625.76
  4. Step 4: Simplify right side
    137,394.54x = 8,785,375,266.67
  5. Step 5: Solve for x
    x = 8,785,375,266.67/137,394.54
  6. Step 6: Final answer
    x = 63,942.68

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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.