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Finding the Fourth Proportional to 57,436.72, 86,145.36 and 15,874

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Solution

The fourth proportional to 57,436.72, 86,145.36 and 15,874 is: 23,808.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,436.72 : 86,145.36 = 15,874 : x
  2. Step 2: Convert to fraction form
    57,436.72/86,145.36 = 15,874/x
  3. Step 3: Cross multiply
    57,436.72x = 86,145.36 × 15,874
  4. Step 4: Simplify right side
    57,436.72x = 1,367,471,444.64
  5. Step 5: Solve for x
    x = 1,367,471,444.64/57,436.72
  6. Step 6: Final answer
    x = 23,808.31

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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.