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Finding the Fourth Proportional to 57,781.64, 86,672.35 and 21,764.82

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Solution

The fourth proportional to 57,781.64, 86,672.35 and 21,764.82 is: 32,647.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,781.64 : 86,672.35 = 21,764.82 : x
  2. Step 2: Convert to fraction form
    57,781.64/86,672.35 = 21,764.82/x
  3. Step 3: Cross multiply
    57,781.64x = 86,672.35 × 21,764.82
  4. Step 4: Simplify right side
    57,781.64x = 1,886,408,096.73
  5. Step 5: Solve for x
    x = 1,886,408,096.73/57,781.64
  6. Step 6: Final answer
    x = 32,647.19

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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.