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Finding the Fourth Proportional to 226,431.60, 339,636.60 and 76,657.20

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Solution

The fourth proportional to 226,431.60, 339,636.60 and 76,657.20 is: 114,982.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,431.60 : 339,636.60 = 76,657.20 : x
  2. Step 2: Convert to fraction form
    226,431.60/339,636.60 = 76,657.20/x
  3. Step 3: Cross multiply
    226,431.60x = 339,636.60 × 76,657.20
  4. Step 4: Simplify right side
    226,431.60x = 26,035,590,773.52
  5. Step 5: Solve for x
    x = 26,035,590,773.52/226,431.60
  6. Step 6: Final answer
    x = 114,982.14

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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.