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Finding the Fourth Proportional to 212,950, 319,479 and 79,830.64

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Solution

The fourth proportional to 212,950, 319,479 and 79,830.64 is: 119,766.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,950 : 319,479 = 79,830.64 : x
  2. Step 2: Convert to fraction form
    212,950/319,479 = 79,830.64/x
  3. Step 3: Cross multiply
    212,950x = 319,479 × 79,830.64
  4. Step 4: Simplify right side
    212,950x = 25,504,213,036.56
  5. Step 5: Solve for x
    x = 25,504,213,036.56/212,950
  6. Step 6: Final answer
    x = 119,766.20

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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.