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Finding the Fourth Proportional to 271,510.37, 407,331.39 and 81,959.41

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Solution

The fourth proportional to 271,510.37, 407,331.39 and 81,959.41 is: 122,958.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,510.37 : 407,331.39 = 81,959.41 : x
  2. Step 2: Convert to fraction form
    271,510.37/407,331.39 = 81,959.41/x
  3. Step 3: Cross multiply
    271,510.37x = 407,331.39 × 81,959.41
  4. Step 4: Simplify right side
    271,510.37x = 33,384,640,603.78
  5. Step 5: Solve for x
    x = 33,384,640,603.78/271,510.37
  6. Step 6: Final answer
    x = 122,958.99

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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.