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Finding the Fourth Proportional to 127,687.69, 176,149.79 and 82,380.24

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Solution

The fourth proportional to 127,687.69, 176,149.79 and 82,380.24 is: 113,646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,687.69 : 176,149.79 = 82,380.24 : x
  2. Step 2: Convert to fraction form
    127,687.69/176,149.79 = 82,380.24/x
  3. Step 3: Cross multiply
    127,687.69x = 176,149.79 × 82,380.24
  4. Step 4: Simplify right side
    127,687.69x = 14,511,261,873.17
  5. Step 5: Solve for x
    x = 14,511,261,873.17/127,687.69
  6. Step 6: Final answer
    x = 113,646.52

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1.5x scale

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.