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Finding the Fourth Proportional to 207,371.40, 311,057.10 and 82,801.80

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Solution

The fourth proportional to 207,371.40, 311,057.10 and 82,801.80 is: 124,202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,371.40 : 311,057.10 = 82,801.80 : x
  2. Step 2: Convert to fraction form
    207,371.40/311,057.10 = 82,801.80/x
  3. Step 3: Cross multiply
    207,371.40x = 311,057.10 × 82,801.80
  4. Step 4: Simplify right side
    207,371.40x = 25,756,087,782.78
  5. Step 5: Solve for x
    x = 25,756,087,782.78/207,371.40
  6. Step 6: Final answer
    x = 124,202.70

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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.