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Finding the Fourth Proportional to 82,779, 124,205.04 and 27,375

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Solution

The fourth proportional to 82,779, 124,205.04 and 27,375 is: 41,074.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,779 : 124,205.04 = 27,375 : x
  2. Step 2: Convert to fraction form
    82,779/124,205.04 = 27,375/x
  3. Step 3: Cross multiply
    82,779x = 124,205.04 × 27,375
  4. Step 4: Simplify right side
    82,779x = 3,400,112,970
  5. Step 5: Solve for x
    x = 3,400,112,970/82,779
  6. Step 6: Final answer
    x = 41,074.58

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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.