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Finding the Fourth Proportional to 226,143, 339,370.02 and 78,399

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Solution

The fourth proportional to 226,143, 339,370.02 and 78,399 is: 117,652.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,143 : 339,370.02 = 78,399 : x
  2. Step 2: Convert to fraction form
    226,143/339,370.02 = 78,399/x
  3. Step 3: Cross multiply
    226,143x = 339,370.02 × 78,399
  4. Step 4: Simplify right side
    226,143x = 26,606,270,197.98
  5. Step 5: Solve for x
    x = 26,606,270,197.98/226,143
  6. Step 6: Final answer
    x = 117,652.42

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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.