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Finding the Fourth Proportional to 80,180.06, 120,187.04 and 65,991

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Solution

The fourth proportional to 80,180.06, 120,187.04 and 65,991 is: 98,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,180.06 : 120,187.04 = 65,991 : x
  2. Step 2: Convert to fraction form
    80,180.06/120,187.04 = 65,991/x
  3. Step 3: Cross multiply
    80,180.06x = 120,187.04 × 65,991
  4. Step 4: Simplify right side
    80,180.06x = 7,931,262,626.69
  5. Step 5: Solve for x
    x = 7,931,262,626.69/80,180.06
  6. Step 6: Final answer
    x = 98,918.15

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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.