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Finding the Fourth Proportional to 231,972, 320,121.98 and 135,233.30

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Solution

The fourth proportional to 231,972, 320,121.98 and 135,233.30 is: 186,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,972 : 320,121.98 = 135,233.30 : x
  2. Step 2: Convert to fraction form
    231,972/320,121.98 = 135,233.30/x
  3. Step 3: Cross multiply
    231,972x = 320,121.98 × 135,233.30
  4. Step 4: Simplify right side
    231,972x = 43,291,149,481.16
  5. Step 5: Solve for x
    x = 43,291,149,481.16/231,972
  6. Step 6: Final answer
    x = 186,622.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.