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Finding the Fourth Proportional to 137,874.36, 206,844.81 and 47,903.97

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Solution

The fourth proportional to 137,874.36, 206,844.81 and 47,903.97 is: 71,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,874.36 : 206,844.81 = 47,903.97 : x
  2. Step 2: Convert to fraction form
    137,874.36/206,844.81 = 47,903.97/x
  3. Step 3: Cross multiply
    137,874.36x = 206,844.81 × 47,903.97
  4. Step 4: Simplify right side
    137,874.36x = 9,908,687,572.90
  5. Step 5: Solve for x
    x = 9,908,687,572.90/137,874.36
  6. Step 6: Final answer
    x = 71,867.51

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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.