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Finding the Fourth Proportional to 271,022.31, 406,905.86 and 137,991.96

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Solution

The fourth proportional to 271,022.31, 406,905.86 and 137,991.96 is: 207,177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,022.31 : 406,905.86 = 137,991.96 : x
  2. Step 2: Convert to fraction form
    271,022.31/406,905.86 = 137,991.96/x
  3. Step 3: Cross multiply
    271,022.31x = 406,905.86 × 137,991.96
  4. Step 4: Simplify right side
    271,022.31x = 56,149,735,122.36
  5. Step 5: Solve for x
    x = 56,149,735,122.36/271,022.31
  6. Step 6: Final answer
    x = 207,177.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.