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Finding the Fourth Proportional to 226,147, 339,376.02 and 78,403

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Solution

The fourth proportional to 226,147, 339,376.02 and 78,403 is: 117,658.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,147 : 339,376.02 = 78,403 : x
  2. Step 2: Convert to fraction form
    226,147/339,376.02 = 78,403/x
  3. Step 3: Cross multiply
    226,147x = 339,376.02 × 78,403
  4. Step 4: Simplify right side
    226,147x = 26,608,098,096.06
  5. Step 5: Solve for x
    x = 26,608,098,096.06/226,147
  6. Step 6: Final answer
    x = 117,658.42

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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.