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Finding the Fourth Proportional to 226,036, 339,045.81 and 68,260.42

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Solution

The fourth proportional to 226,036, 339,045.81 and 68,260.42 is: 102,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,036 : 339,045.81 = 68,260.42 : x
  2. Step 2: Convert to fraction form
    226,036/339,045.81 = 68,260.42/x
  3. Step 3: Cross multiply
    226,036x = 339,045.81 × 68,260.42
  4. Step 4: Simplify right side
    226,036x = 23,143,409,389.84
  5. Step 5: Solve for x
    x = 23,143,409,389.84/226,036
  6. Step 6: Final answer
    x = 102,388.16

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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.