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Finding the Fourth Proportional to 137,936.88, 206,758.08 and 78,644.88

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Solution

The fourth proportional to 137,936.88, 206,758.08 and 78,644.88 is: 117,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,936.88 : 206,758.08 = 78,644.88 : x
  2. Step 2: Convert to fraction form
    137,936.88/206,758.08 = 78,644.88/x
  3. Step 3: Cross multiply
    137,936.88x = 206,758.08 × 78,644.88
  4. Step 4: Simplify right side
    137,936.88x = 16,260,464,390.63
  5. Step 5: Solve for x
    x = 16,260,464,390.63/137,936.88
  6. Step 6: Final answer
    x = 117,883.37

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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.