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Finding the Fourth Proportional to 137,587.41, 206,089.52 and 103,936.77

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Solution

The fourth proportional to 137,587.41, 206,089.52 and 103,936.77 is: 155,684.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,587.41 : 206,089.52 = 103,936.77 : x
  2. Step 2: Convert to fraction form
    137,587.41/206,089.52 = 103,936.77/x
  3. Step 3: Cross multiply
    137,587.41x = 206,089.52 × 103,936.77
  4. Step 4: Simplify right side
    137,587.41x = 21,420,278,519.97
  5. Step 5: Solve for x
    x = 21,420,278,519.97/137,587.41
  6. Step 6: Final answer
    x = 155,684.87

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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.