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Finding the Fourth Proportional to 80,180.81, 120,188.16 and 65,991.75

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Solution

The fourth proportional to 80,180.81, 120,188.16 and 65,991.75 is: 98,919.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,180.81 : 120,188.16 = 65,991.75 : x
  2. Step 2: Convert to fraction form
    80,180.81/120,188.16 = 65,991.75/x
  3. Step 3: Cross multiply
    80,180.81x = 120,188.16 × 65,991.75
  4. Step 4: Simplify right side
    80,180.81x = 7,931,427,007.68
  5. Step 5: Solve for x
    x = 7,931,427,007.68/80,180.81
  6. Step 6: Final answer
    x = 98,919.27

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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.