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Finding the Fourth Proportional to 80,604, 120,906.36 and 25,200

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Solution

The fourth proportional to 80,604, 120,906.36 and 25,200 is: 37,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,604 : 120,906.36 = 25,200 : x
  2. Step 2: Convert to fraction form
    80,604/120,906.36 = 25,200/x
  3. Step 3: Cross multiply
    80,604x = 120,906.36 × 25,200
  4. Step 4: Simplify right side
    80,604x = 3,046,840,272
  5. Step 5: Solve for x
    x = 3,046,840,272/80,604
  6. Step 6: Final answer
    x = 37,800.11

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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.