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Finding the Fourth Proportional to 207,412.40, 311,272.20 and 82,842.80

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Solution

The fourth proportional to 207,412.40, 311,272.20 and 82,842.80 is: 124,325.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,412.40 : 311,272.20 = 82,842.80 : x
  2. Step 2: Convert to fraction form
    207,412.40/311,272.20 = 82,842.80/x
  3. Step 3: Cross multiply
    207,412.40x = 311,272.20 × 82,842.80
  4. Step 4: Simplify right side
    207,412.40x = 25,786,660,610.16
  5. Step 5: Solve for x
    x = 25,786,660,610.16/207,412.40
  6. Step 6: Final answer
    x = 124,325.55

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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.