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Finding the Fourth Proportional to 57,474.32, 86,176.88 and 21,938

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Solution

The fourth proportional to 57,474.32, 86,176.88 and 21,938 is: 32,893.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,474.32 : 86,176.88 = 21,938 : x
  2. Step 2: Convert to fraction form
    57,474.32/86,176.88 = 21,938/x
  3. Step 3: Cross multiply
    57,474.32x = 86,176.88 × 21,938
  4. Step 4: Simplify right side
    57,474.32x = 1,890,548,393.44
  5. Step 5: Solve for x
    x = 1,890,548,393.44/57,474.32
  6. Step 6: Final answer
    x = 32,893.79

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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.