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Finding the Fourth Proportional to 57,502, 86,253 and 15,949

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Solution

The fourth proportional to 57,502, 86,253 and 15,949 is: 23,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,502 : 86,253 = 15,949 : x
  2. Step 2: Convert to fraction form
    57,502/86,253 = 15,949/x
  3. Step 3: Cross multiply
    57,502x = 86,253 × 15,949
  4. Step 4: Simplify right side
    57,502x = 1,375,649,097
  5. Step 5: Solve for x
    x = 1,375,649,097/57,502
  6. Step 6: Final answer
    x = 23,923.50

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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.