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Finding the Fourth Proportional to 231,383.72, 319,308.62 and 129,408.77

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Solution

The fourth proportional to 231,383.72, 319,308.62 and 129,408.77 is: 178,583.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,383.72 : 319,308.62 = 129,408.77 : x
  2. Step 2: Convert to fraction form
    231,383.72/319,308.62 = 129,408.77/x
  3. Step 3: Cross multiply
    231,383.72x = 319,308.62 × 129,408.77
  4. Step 4: Simplify right side
    231,383.72x = 41,321,335,915.83
  5. Step 5: Solve for x
    x = 41,321,335,915.83/231,383.72
  6. Step 6: Final answer
    x = 178,583.59

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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.