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Finding the Fourth Proportional to 80,682, 121,023.60 and 28,091.40

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Solution

The fourth proportional to 80,682, 121,023.60 and 28,091.40 is: 42,137.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,682 : 121,023.60 = 28,091.40 : x
  2. Step 2: Convert to fraction form
    80,682/121,023.60 = 28,091.40/x
  3. Step 3: Cross multiply
    80,682x = 121,023.60 × 28,091.40
  4. Step 4: Simplify right side
    80,682x = 3,399,722,357.04
  5. Step 5: Solve for x
    x = 3,399,722,357.04/80,682
  6. Step 6: Final answer
    x = 42,137.31

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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.