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Finding the Fourth Proportional to 194,647.80, 291,809.70 and 82,414.20

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Solution

The fourth proportional to 194,647.80, 291,809.70 and 82,414.20 is: 123,552.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,647.80 : 291,809.70 = 82,414.20 : x
  2. Step 2: Convert to fraction form
    194,647.80/291,809.70 = 82,414.20/x
  3. Step 3: Cross multiply
    194,647.80x = 291,809.70 × 82,414.20
  4. Step 4: Simplify right side
    194,647.80x = 24,049,262,977.74
  5. Step 5: Solve for x
    x = 24,049,262,977.74/194,647.80
  6. Step 6: Final answer
    x = 123,552.71

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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.