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Finding the Fourth Proportional to 188,046.40, 281,983.20 and 82,811.20

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Solution

The fourth proportional to 188,046.40, 281,983.20 and 82,811.20 is: 124,178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,046.40 : 281,983.20 = 82,811.20 : x
  2. Step 2: Convert to fraction form
    188,046.40/281,983.20 = 82,811.20/x
  3. Step 3: Cross multiply
    188,046.40x = 281,983.20 × 82,811.20
  4. Step 4: Simplify right side
    188,046.40x = 23,351,367,171.84
  5. Step 5: Solve for x
    x = 23,351,367,171.84/188,046.40
  6. Step 6: Final answer
    x = 124,178.75

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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.