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Finding the Fourth Proportional to 213,278.73, 319,672.02 and 80,074.02

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Solution

The fourth proportional to 213,278.73, 319,672.02 and 80,074.02 is: 120,018.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,278.73 : 319,672.02 = 80,074.02 : x
  2. Step 2: Convert to fraction form
    213,278.73/319,672.02 = 80,074.02/x
  3. Step 3: Cross multiply
    213,278.73x = 319,672.02 × 80,074.02
  4. Step 4: Simplify right side
    213,278.73x = 25,597,423,722.92
  5. Step 5: Solve for x
    x = 25,597,423,722.92/213,278.73
  6. Step 6: Final answer
    x = 120,018.64

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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.