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Finding the Fourth Proportional to 139,568.76, 192,654.99 and 82,980

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Solution

The fourth proportional to 139,568.76, 192,654.99 and 82,980 is: 114,542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,568.76 : 192,654.99 = 82,980 : x
  2. Step 2: Convert to fraction form
    139,568.76/192,654.99 = 82,980/x
  3. Step 3: Cross multiply
    139,568.76x = 192,654.99 × 82,980
  4. Step 4: Simplify right side
    139,568.76x = 15,986,511,070.20
  5. Step 5: Solve for x
    x = 15,986,511,070.20/139,568.76
  6. Step 6: Final answer
    x = 114,542.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.