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Finding the Fourth Proportional to 141,400.70, 212,090.02 and 82,198.61

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Solution

The fourth proportional to 141,400.70, 212,090.02 and 82,198.61 is: 123,291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,400.70 : 212,090.02 = 82,198.61 : x
  2. Step 2: Convert to fraction form
    141,400.70/212,090.02 = 82,198.61/x
  3. Step 3: Cross multiply
    141,400.70x = 212,090.02 × 82,198.61
  4. Step 4: Simplify right side
    141,400.70x = 17,433,504,838.87
  5. Step 5: Solve for x
    x = 17,433,504,838.87/141,400.70
  6. Step 6: Final answer
    x = 123,291.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.