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Finding the Fourth Proportional to 226,300, 339,450 and 78,556

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Solution

The fourth proportional to 226,300, 339,450 and 78,556 is: 117,834

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,300 : 339,450 = 78,556 : x
  2. Step 2: Convert to fraction form
    226,300/339,450 = 78,556/x
  3. Step 3: Cross multiply
    226,300x = 339,450 × 78,556
  4. Step 4: Simplify right side
    226,300x = 26,665,834,200
  5. Step 5: Solve for x
    x = 26,665,834,200/226,300
  6. Step 6: Final answer
    x = 117,834

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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.