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Finding the Fourth Proportional to 231,893.42, 319,940.28 and 129,905.10

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Solution

The fourth proportional to 231,893.42, 319,940.28 and 129,905.10 is: 179,228.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,893.42 : 319,940.28 = 129,905.10 : x
  2. Step 2: Convert to fraction form
    231,893.42/319,940.28 = 129,905.10/x
  3. Step 3: Cross multiply
    231,893.42x = 319,940.28 × 129,905.10
  4. Step 4: Simplify right side
    231,893.42x = 41,561,874,067.43
  5. Step 5: Solve for x
    x = 41,561,874,067.43/231,893.42
  6. Step 6: Final answer
    x = 179,228.35

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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.