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Finding the Fourth Proportional to 230,297.31, 345,458.34 and 72,538.11

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Solution

The fourth proportional to 230,297.31, 345,458.34 and 72,538.11 is: 108,811.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,297.31 : 345,458.34 = 72,538.11 : x
  2. Step 2: Convert to fraction form
    230,297.31/345,458.34 = 72,538.11/x
  3. Step 3: Cross multiply
    230,297.31x = 345,458.34 × 72,538.11
  4. Step 4: Simplify right side
    230,297.31x = 25,058,895,067.34
  5. Step 5: Solve for x
    x = 25,058,895,067.34/230,297.31
  6. Step 6: Final answer
    x = 108,811.06

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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.