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Finding the Fourth Proportional to 57,789.88, 86,702.54 and 51,829.09

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Solution

The fourth proportional to 57,789.88, 86,702.54 and 51,829.09 is: 77,759.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,789.88 : 86,702.54 = 51,829.09 : x
  2. Step 2: Convert to fraction form
    57,789.88/86,702.54 = 51,829.09/x
  3. Step 3: Cross multiply
    57,789.88x = 86,702.54 × 51,829.09
  4. Step 4: Simplify right side
    57,789.88x = 4,493,713,272.99
  5. Step 5: Solve for x
    x = 4,493,713,272.99/57,789.88
  6. Step 6: Final answer
    x = 77,759.52

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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.