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Finding the Fourth Proportional to 230,190.59, 345,231.20 and 87,983.66

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Solution

The fourth proportional to 230,190.59, 345,231.20 and 87,983.66 is: 131,954.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,190.59 : 345,231.20 = 87,983.66 : x
  2. Step 2: Convert to fraction form
    230,190.59/345,231.20 = 87,983.66/x
  3. Step 3: Cross multiply
    230,190.59x = 345,231.20 × 87,983.66
  4. Step 4: Simplify right side
    230,190.59x = 30,374,705,605.23
  5. Step 5: Solve for x
    x = 30,374,705,605.23/230,190.59
  6. Step 6: Final answer
    x = 131,954.59

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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.