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Finding the Fourth Proportional to 137,815.17, 206,703.89 and 37,961

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Solution

The fourth proportional to 137,815.17, 206,703.89 and 37,961 is: 56,936.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,815.17 : 206,703.89 = 37,961 : x
  2. Step 2: Convert to fraction form
    137,815.17/206,703.89 = 37,961/x
  3. Step 3: Cross multiply
    137,815.17x = 206,703.89 × 37,961
  4. Step 4: Simplify right side
    137,815.17x = 7,846,686,368.29
  5. Step 5: Solve for x
    x = 7,846,686,368.29/137,815.17
  6. Step 6: Final answer
    x = 56,936.30

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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.