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Finding the Fourth Proportional to 57,144.89, 85,716.41 and 15,591.89

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Solution

The fourth proportional to 57,144.89, 85,716.41 and 15,591.89 is: 23,387.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,144.89 : 85,716.41 = 15,591.89 : x
  2. Step 2: Convert to fraction form
    57,144.89/85,716.41 = 15,591.89/x
  3. Step 3: Cross multiply
    57,144.89x = 85,716.41 × 15,591.89
  4. Step 4: Simplify right side
    57,144.89x = 1,336,480,329.37
  5. Step 5: Solve for x
    x = 1,336,480,329.37/57,144.89
  6. Step 6: Final answer
    x = 23,387.58

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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.