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Finding the Fourth Proportional to 207,560.80, 311,310.24 and 57,785.44

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Solution

The fourth proportional to 207,560.80, 311,310.24 and 57,785.44 is: 86,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,560.80 : 311,310.24 = 57,785.44 : x
  2. Step 2: Convert to fraction form
    207,560.80/311,310.24 = 57,785.44/x
  3. Step 3: Cross multiply
    207,560.80x = 311,310.24 × 57,785.44
  4. Step 4: Simplify right side
    207,560.80x = 17,989,199,194.91
  5. Step 5: Solve for x
    x = 17,989,199,194.91/207,560.80
  6. Step 6: Final answer
    x = 86,669.54

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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.