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Finding the Fourth Proportional to 118,452.89, 163,187.85 and 82,578.80

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Solution

The fourth proportional to 118,452.89, 163,187.85 and 82,578.80 is: 113,765.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,452.89 : 163,187.85 = 82,578.80 : x
  2. Step 2: Convert to fraction form
    118,452.89/163,187.85 = 82,578.80/x
  3. Step 3: Cross multiply
    118,452.89x = 163,187.85 × 82,578.80
  4. Step 4: Simplify right side
    118,452.89x = 13,475,856,827.58
  5. Step 5: Solve for x
    x = 13,475,856,827.58/118,452.89
  6. Step 6: Final answer
    x = 113,765.54

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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.