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Finding the Fourth Proportional to 231,540.89, 319,220.12 and 166,956.08

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Solution

The fourth proportional to 231,540.89, 319,220.12 and 166,956.08 is: 230,178.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,540.89 : 319,220.12 = 166,956.08 : x
  2. Step 2: Convert to fraction form
    231,540.89/319,220.12 = 166,956.08/x
  3. Step 3: Cross multiply
    231,540.89x = 319,220.12 × 166,956.08
  4. Step 4: Simplify right side
    231,540.89x = 53,295,738,713.62
  5. Step 5: Solve for x
    x = 53,295,738,713.62/231,540.89
  6. Step 6: Final answer
    x = 230,178.52

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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.