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Finding the Fourth Proportional to 207,647.10, 311,454.45 and 81,262.80

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Solution

The fourth proportional to 207,647.10, 311,454.45 and 81,262.80 is: 121,887.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,647.10 : 311,454.45 = 81,262.80 : x
  2. Step 2: Convert to fraction form
    207,647.10/311,454.45 = 81,262.80/x
  3. Step 3: Cross multiply
    207,647.10x = 311,454.45 × 81,262.80
  4. Step 4: Simplify right side
    207,647.10x = 25,309,660,679.46
  5. Step 5: Solve for x
    x = 25,309,660,679.46/207,647.10
  6. Step 6: Final answer
    x = 121,887.86

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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.