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Finding the Fourth Proportional to 257,576.80, 386,383.64 and 68,035.27

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Solution

The fourth proportional to 257,576.80, 386,383.64 and 68,035.27 is: 102,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,576.80 : 386,383.64 = 68,035.27 : x
  2. Step 2: Convert to fraction form
    257,576.80/386,383.64 = 68,035.27/x
  3. Step 3: Cross multiply
    257,576.80x = 386,383.64 × 68,035.27
  4. Step 4: Simplify right side
    257,576.80x = 26,287,715,806.72
  5. Step 5: Solve for x
    x = 26,287,715,806.72/257,576.80
  6. Step 6: Final answer
    x = 102,057.78

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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.