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Finding the Fourth Proportional to 207,618.60, 311,312.70 and 82,818.60

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Solution

The fourth proportional to 207,618.60, 311,312.70 and 82,818.60 is: 124,181.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,618.60 : 311,312.70 = 82,818.60 : x
  2. Step 2: Convert to fraction form
    207,618.60/311,312.70 = 82,818.60/x
  3. Step 3: Cross multiply
    207,618.60x = 311,312.70 × 82,818.60
  4. Step 4: Simplify right side
    207,618.60x = 25,782,481,976.22
  5. Step 5: Solve for x
    x = 25,782,481,976.22/207,618.60
  6. Step 6: Final answer
    x = 124,181.95

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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.