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Finding the Fourth Proportional to 57,137.88, 85,533.87 and 51,872.88

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Solution

The fourth proportional to 57,137.88, 85,533.87 and 51,872.88 is: 77,652.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,137.88 : 85,533.87 = 51,872.88 : x
  2. Step 2: Convert to fraction form
    57,137.88/85,533.87 = 51,872.88/x
  3. Step 3: Cross multiply
    57,137.88x = 85,533.87 × 51,872.88
  4. Step 4: Simplify right side
    57,137.88x = 4,436,888,174.45
  5. Step 5: Solve for x
    x = 4,436,888,174.45/57,137.88
  6. Step 6: Final answer
    x = 77,652.31

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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.