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Finding the Fourth Proportional to 226,613.60, 339,909.60 and 76,839.20

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Solution

The fourth proportional to 226,613.60, 339,909.60 and 76,839.20 is: 115,255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,613.60 : 339,909.60 = 76,839.20 : x
  2. Step 2: Convert to fraction form
    226,613.60/339,909.60 = 76,839.20/x
  3. Step 3: Cross multiply
    226,613.60x = 339,909.60 × 76,839.20
  4. Step 4: Simplify right side
    226,613.60x = 26,118,381,736.32
  5. Step 5: Solve for x
    x = 26,118,381,736.32/226,613.60
  6. Step 6: Final answer
    x = 115,255.14

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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.