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Finding the Fourth Proportional to 82,917, 124,375.50 and 30,297.80

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Solution

The fourth proportional to 82,917, 124,375.50 and 30,297.80 is: 45,446.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,917 : 124,375.50 = 30,297.80 : x
  2. Step 2: Convert to fraction form
    82,917/124,375.50 = 30,297.80/x
  3. Step 3: Cross multiply
    82,917x = 124,375.50 × 30,297.80
  4. Step 4: Simplify right side
    82,917x = 3,768,304,023.90
  5. Step 5: Solve for x
    x = 3,768,304,023.90/82,917
  6. Step 6: Final answer
    x = 45,446.70

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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.