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Finding the Fourth Proportional to 137,893.28, 206,815.25 and 36,691.88

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Solution

The fourth proportional to 137,893.28, 206,815.25 and 36,691.88 is: 55,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,893.28 : 206,815.25 = 36,691.88 : x
  2. Step 2: Convert to fraction form
    137,893.28/206,815.25 = 36,691.88/x
  3. Step 3: Cross multiply
    137,893.28x = 206,815.25 × 36,691.88
  4. Step 4: Simplify right side
    137,893.28x = 7,588,439,392.82
  5. Step 5: Solve for x
    x = 7,588,439,392.82/137,893.28
  6. Step 6: Final answer
    x = 55,031.25

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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.