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Finding the Fourth Proportional to 212,951.12, 319,623.50 and 107,843.90

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Solution

The fourth proportional to 212,951.12, 319,623.50 and 107,843.90 is: 161,865.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,951.12 : 319,623.50 = 107,843.90 : x
  2. Step 2: Convert to fraction form
    212,951.12/319,623.50 = 107,843.90/x
  3. Step 3: Cross multiply
    212,951.12x = 319,623.50 × 107,843.90
  4. Step 4: Simplify right side
    212,951.12x = 34,469,443,443.14
  5. Step 5: Solve for x
    x = 34,469,443,443.14/212,951.12
  6. Step 6: Final answer
    x = 161,865.52

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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.