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Finding the Fourth Proportional to 193,252.80, 290,000.80 and 82,443.20

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Solution

The fourth proportional to 193,252.80, 290,000.80 and 82,443.20 is: 123,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,252.80 : 290,000.80 = 82,443.20 : x
  2. Step 2: Convert to fraction form
    193,252.80/290,000.80 = 82,443.20/x
  3. Step 3: Cross multiply
    193,252.80x = 290,000.80 × 82,443.20
  4. Step 4: Simplify right side
    193,252.80x = 23,908,593,954.56
  5. Step 5: Solve for x
    x = 23,908,593,954.56/193,252.80
  6. Step 6: Final answer
    x = 123,716.68

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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.