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Finding the Fourth Proportional to 231,673, 319,706.58 and 131,071

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Solution

The fourth proportional to 231,673, 319,706.58 and 131,071 is: 180,876.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,673 : 319,706.58 = 131,071 : x
  2. Step 2: Convert to fraction form
    231,673/319,706.58 = 131,071/x
  3. Step 3: Cross multiply
    231,673x = 319,706.58 × 131,071
  4. Step 4: Simplify right side
    231,673x = 41,904,261,147.18
  5. Step 5: Solve for x
    x = 41,904,261,147.18/231,673
  6. Step 6: Final answer
    x = 180,876.76

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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.