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Finding the Fourth Proportional to 212,759.26, 319,211.79 and 72,616.30

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Solution

The fourth proportional to 212,759.26, 319,211.79 and 72,616.30 is: 108,949.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,759.26 : 319,211.79 = 72,616.30 : x
  2. Step 2: Convert to fraction form
    212,759.26/319,211.79 = 72,616.30/x
  3. Step 3: Cross multiply
    212,759.26x = 319,211.79 × 72,616.30
  4. Step 4: Simplify right side
    212,759.26x = 23,179,978,035.84
  5. Step 5: Solve for x
    x = 23,179,978,035.84/212,759.26
  6. Step 6: Final answer
    x = 108,949.33

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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.