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Finding the Fourth Proportional to 80,489, 120,740.16 and 25,085

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Solution

The fourth proportional to 80,489, 120,740.16 and 25,085 is: 37,629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,489 : 120,740.16 = 25,085 : x
  2. Step 2: Convert to fraction form
    80,489/120,740.16 = 25,085/x
  3. Step 3: Cross multiply
    80,489x = 120,740.16 × 25,085
  4. Step 4: Simplify right side
    80,489x = 3,028,766,913.60
  5. Step 5: Solve for x
    x = 3,028,766,913.60/80,489
  6. Step 6: Final answer
    x = 37,629.58

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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.