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Finding the Fourth Proportional to 82,578.75, 123,874.31 and 23,419.19

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Solution

The fourth proportional to 82,578.75, 123,874.31 and 23,419.19 is: 35,130.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,578.75 : 123,874.31 = 23,419.19 : x
  2. Step 2: Convert to fraction form
    82,578.75/123,874.31 = 23,419.19/x
  3. Step 3: Cross multiply
    82,578.75x = 123,874.31 × 23,419.19
  4. Step 4: Simplify right side
    82,578.75x = 2,901,035,265.54
  5. Step 5: Solve for x
    x = 2,901,035,265.54/82,578.75
  6. Step 6: Final answer
    x = 35,130.53

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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.