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Finding the Fourth Proportional to 226,611.60, 339,906.60 and 76,837.20

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Solution

The fourth proportional to 226,611.60, 339,906.60 and 76,837.20 is: 115,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,611.60 : 339,906.60 = 76,837.20 : x
  2. Step 2: Convert to fraction form
    226,611.60/339,906.60 = 76,837.20/x
  3. Step 3: Cross multiply
    226,611.60x = 339,906.60 × 76,837.20
  4. Step 4: Simplify right side
    226,611.60x = 26,117,471,405.52
  5. Step 5: Solve for x
    x = 26,117,471,405.52/226,611.60
  6. Step 6: Final answer
    x = 115,252.14

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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.