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Finding the Fourth Proportional to 207,581.60, 311,257.20 and 82,781.60

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Solution

The fourth proportional to 207,581.60, 311,257.20 and 82,781.60 is: 124,126.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,581.60 : 311,257.20 = 82,781.60 : x
  2. Step 2: Convert to fraction form
    207,581.60/311,257.20 = 82,781.60/x
  3. Step 3: Cross multiply
    207,581.60x = 311,257.20 × 82,781.60
  4. Step 4: Simplify right side
    207,581.60x = 25,766,369,027.52
  5. Step 5: Solve for x
    x = 25,766,369,027.52/207,581.60
  6. Step 6: Final answer
    x = 124,126.46

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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.