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Finding the Fourth Proportional to 68,274.81, 102,375.12 and 30,791.01

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Solution

The fourth proportional to 68,274.81, 102,375.12 and 30,791.01 is: 46,169.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,274.81 : 102,375.12 = 30,791.01 : x
  2. Step 2: Convert to fraction form
    68,274.81/102,375.12 = 30,791.01/x
  3. Step 3: Cross multiply
    68,274.81x = 102,375.12 × 30,791.01
  4. Step 4: Simplify right side
    68,274.81x = 3,152,233,343.67
  5. Step 5: Solve for x
    x = 3,152,233,343.67/68,274.81
  6. Step 6: Final answer
    x = 46,169.79

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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.