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Finding the Fourth Proportional to 57,501, 86,251.50 and 15,948

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Solution

The fourth proportional to 57,501, 86,251.50 and 15,948 is: 23,922

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,501 : 86,251.50 = 15,948 : x
  2. Step 2: Convert to fraction form
    57,501/86,251.50 = 15,948/x
  3. Step 3: Cross multiply
    57,501x = 86,251.50 × 15,948
  4. Step 4: Simplify right side
    57,501x = 1,375,538,922
  5. Step 5: Solve for x
    x = 1,375,538,922/57,501
  6. Step 6: Final answer
    x = 23,922

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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.