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Finding the Fourth Proportional to 226,616.60, 339,914.10 and 76,842.20

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Solution

The fourth proportional to 226,616.60, 339,914.10 and 76,842.20 is: 115,259.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,616.60 : 339,914.10 = 76,842.20 : x
  2. Step 2: Convert to fraction form
    226,616.60/339,914.10 = 76,842.20/x
  3. Step 3: Cross multiply
    226,616.60x = 339,914.10 × 76,842.20
  4. Step 4: Simplify right side
    226,616.60x = 26,119,747,255.02
  5. Step 5: Solve for x
    x = 26,119,747,255.02/226,616.60
  6. Step 6: Final answer
    x = 115,259.64

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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.