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Finding the Fourth Proportional to 78,493.25, 117,771.31 and 28,576.80

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Solution

The fourth proportional to 78,493.25, 117,771.31 and 28,576.80 is: 42,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,493.25 : 117,771.31 = 28,576.80 : x
  2. Step 2: Convert to fraction form
    78,493.25/117,771.31 = 28,576.80/x
  3. Step 3: Cross multiply
    78,493.25x = 117,771.31 × 28,576.80
  4. Step 4: Simplify right side
    78,493.25x = 3,365,526,582.75
  5. Step 5: Solve for x
    x = 3,365,526,582.75/78,493.25
  6. Step 6: Final answer
    x = 42,876.64

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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.