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Finding the Fourth Proportional to 80,508.40, 120,784.20 and 71,803.60

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Solution

The fourth proportional to 80,508.40, 120,784.20 and 71,803.60 is: 107,724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,508.40 : 120,784.20 = 71,803.60 : x
  2. Step 2: Convert to fraction form
    80,508.40/120,784.20 = 71,803.60/x
  3. Step 3: Cross multiply
    80,508.40x = 120,784.20 × 71,803.60
  4. Step 4: Simplify right side
    80,508.40x = 8,672,740,383.12
  5. Step 5: Solve for x
    x = 8,672,740,383.12/80,508.40
  6. Step 6: Final answer
    x = 107,724.66

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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.