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Finding the Fourth Proportional to 68,186.80, 102,285.60 and 23,812.60

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Solution

The fourth proportional to 68,186.80, 102,285.60 and 23,812.60 is: 35,720.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,186.80 : 102,285.60 = 23,812.60 : x
  2. Step 2: Convert to fraction form
    68,186.80/102,285.60 = 23,812.60/x
  3. Step 3: Cross multiply
    68,186.80x = 102,285.60 × 23,812.60
  4. Step 4: Simplify right side
    68,186.80x = 2,435,686,078.56
  5. Step 5: Solve for x
    x = 2,435,686,078.56/68,186.80
  6. Step 6: Final answer
    x = 35,720.79

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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.