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Finding the Fourth Proportional to 230,481.73, 345,693.43 and 90,338.77

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Solution

The fourth proportional to 230,481.73, 345,693.43 and 90,338.77 is: 135,496.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,481.73 : 345,693.43 = 90,338.77 : x
  2. Step 2: Convert to fraction form
    230,481.73/345,693.43 = 90,338.77/x
  3. Step 3: Cross multiply
    230,481.73x = 345,693.43 × 90,338.77
  4. Step 4: Simplify right side
    230,481.73x = 31,229,519,263.28
  5. Step 5: Solve for x
    x = 31,229,519,263.28/230,481.73
  6. Step 6: Final answer
    x = 135,496.72

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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.