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Finding the Fourth Proportional to 56,757.76, 85,005.41 and 54,789.46

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Solution

The fourth proportional to 56,757.76, 85,005.41 and 54,789.46 is: 82,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,757.76 : 85,005.41 = 54,789.46 : x
  2. Step 2: Convert to fraction form
    56,757.76/85,005.41 = 54,789.46/x
  3. Step 3: Cross multiply
    56,757.76x = 85,005.41 × 54,789.46
  4. Step 4: Simplify right side
    56,757.76x = 4,657,400,435.44
  5. Step 5: Solve for x
    x = 4,657,400,435.44/56,757.76
  6. Step 6: Final answer
    x = 82,057.51

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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.