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Finding the Fourth Proportional to 137,940.82, 206,895.57 and 38,115.16

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Solution

The fourth proportional to 137,940.82, 206,895.57 and 38,115.16 is: 57,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,940.82 : 206,895.57 = 38,115.16 : x
  2. Step 2: Convert to fraction form
    137,940.82/206,895.57 = 38,115.16/x
  3. Step 3: Cross multiply
    137,940.82x = 206,895.57 × 38,115.16
  4. Step 4: Simplify right side
    137,940.82x = 7,885,857,753.84
  5. Step 5: Solve for x
    x = 7,885,857,753.84/137,940.82
  6. Step 6: Final answer
    x = 57,168.41

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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.