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Finding the Fourth Proportional to 212,713.62, 319,194.46 and 79,687.32

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Solution

The fourth proportional to 212,713.62, 319,194.46 and 79,687.32 is: 119,577.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,713.62 : 319,194.46 = 79,687.32 : x
  2. Step 2: Convert to fraction form
    212,713.62/319,194.46 = 79,687.32/x
  3. Step 3: Cross multiply
    212,713.62x = 319,194.46 × 79,687.32
  4. Step 4: Simplify right side
    212,713.62x = 25,435,751,076.25
  5. Step 5: Solve for x
    x = 25,435,751,076.25/212,713.62
  6. Step 6: Final answer
    x = 119,577.44

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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.