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Finding the Fourth Proportional to 229,344, 344,028.96 and 81,600

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Solution

The fourth proportional to 229,344, 344,028.96 and 81,600 is: 122,404.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,344 : 344,028.96 = 81,600 : x
  2. Step 2: Convert to fraction form
    229,344/344,028.96 = 81,600/x
  3. Step 3: Cross multiply
    229,344x = 344,028.96 × 81,600
  4. Step 4: Simplify right side
    229,344x = 28,072,763,136
  5. Step 5: Solve for x
    x = 28,072,763,136/229,344
  6. Step 6: Final answer
    x = 122,404.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.