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Finding the Fourth Proportional to 207,489.40, 311,387.70 and 82,919.80

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Solution

The fourth proportional to 207,489.40, 311,387.70 and 82,919.80 is: 124,441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,489.40 : 311,387.70 = 82,919.80 : x
  2. Step 2: Convert to fraction form
    207,489.40/311,387.70 = 82,919.80/x
  3. Step 3: Cross multiply
    207,489.40x = 311,387.70 × 82,919.80
  4. Step 4: Simplify right side
    207,489.40x = 25,820,205,806.46
  5. Step 5: Solve for x
    x = 25,820,205,806.46/207,489.40
  6. Step 6: Final answer
    x = 124,441.08

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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.