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Finding the Fourth Proportional to 207,288.20, 311,009.10 and 82,718.60

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Solution

The fourth proportional to 207,288.20, 311,009.10 and 82,718.60 is: 124,108.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,288.20 : 311,009.10 = 82,718.60 : x
  2. Step 2: Convert to fraction form
    207,288.20/311,009.10 = 82,718.60/x
  3. Step 3: Cross multiply
    207,288.20x = 311,009.10 × 82,718.60
  4. Step 4: Simplify right side
    207,288.20x = 25,726,237,339.26
  5. Step 5: Solve for x
    x = 25,726,237,339.26/207,288.20
  6. Step 6: Final answer
    x = 124,108.55

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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.