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Finding the Fourth Proportional to 212,978.94, 319,375.20 and 79,765.80

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Solution

The fourth proportional to 212,978.94, 319,375.20 and 79,765.80 is: 119,613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,978.94 : 319,375.20 = 79,765.80 : x
  2. Step 2: Convert to fraction form
    212,978.94/319,375.20 = 79,765.80/x
  3. Step 3: Cross multiply
    212,978.94x = 319,375.20 × 79,765.80
  4. Step 4: Simplify right side
    212,978.94x = 25,475,218,328.16
  5. Step 5: Solve for x
    x = 25,475,218,328.16/212,978.94
  6. Step 6: Final answer
    x = 119,613.79

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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.