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Finding the Fourth Proportional to 226,149, 339,379.02 and 78,405

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Solution

The fourth proportional to 226,149, 339,379.02 and 78,405 is: 117,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,149 : 339,379.02 = 78,405 : x
  2. Step 2: Convert to fraction form
    226,149/339,379.02 = 78,405/x
  3. Step 3: Cross multiply
    226,149x = 339,379.02 × 78,405
  4. Step 4: Simplify right side
    226,149x = 26,609,012,063.10
  5. Step 5: Solve for x
    x = 26,609,012,063.10/226,149
  6. Step 6: Final answer
    x = 117,661.42

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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.