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Finding the Fourth Proportional to 68,164.42, 102,212.67 and 43,185.44

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Solution

The fourth proportional to 68,164.42, 102,212.67 and 43,185.44 is: 64,756.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,164.42 : 102,212.67 = 43,185.44 : x
  2. Step 2: Convert to fraction form
    68,164.42/102,212.67 = 43,185.44/x
  3. Step 3: Cross multiply
    68,164.42x = 102,212.67 × 43,185.44
  4. Step 4: Simplify right side
    68,164.42x = 4,414,099,127.52
  5. Step 5: Solve for x
    x = 4,414,099,127.52/68,164.42
  6. Step 6: Final answer
    x = 64,756.64

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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.