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Finding the Fourth Proportional to 137,286.36, 206,000.16 and 103,995.36

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Solution

The fourth proportional to 137,286.36, 206,000.16 and 103,995.36 is: 156,046.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,286.36 : 206,000.16 = 103,995.36 : x
  2. Step 2: Convert to fraction form
    137,286.36/206,000.16 = 103,995.36/x
  3. Step 3: Cross multiply
    137,286.36x = 206,000.16 × 103,995.36
  4. Step 4: Simplify right side
    137,286.36x = 21,423,060,799.26
  5. Step 5: Solve for x
    x = 21,423,060,799.26/137,286.36
  6. Step 6: Final answer
    x = 156,046.54

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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.