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Finding the Fourth Proportional to 230,553.69, 345,860.78 and 90,294.09

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Solution

The fourth proportional to 230,553.69, 345,860.78 and 90,294.09 is: 135,452.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,553.69 : 345,860.78 = 90,294.09 : x
  2. Step 2: Convert to fraction form
    230,553.69/345,860.78 = 90,294.09/x
  3. Step 3: Cross multiply
    230,553.69x = 345,860.78 × 90,294.09
  4. Step 4: Simplify right side
    230,553.69x = 31,229,183,945.32
  5. Step 5: Solve for x
    x = 31,229,183,945.32/230,553.69
  6. Step 6: Final answer
    x = 135,452.98

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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.