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Finding the Fourth Proportional to 45,638.72, 68,456 and 32,330.56

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Solution

The fourth proportional to 45,638.72, 68,456 and 32,330.56 is: 48,494.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,638.72 : 68,456 = 32,330.56 : x
  2. Step 2: Convert to fraction form
    45,638.72/68,456 = 32,330.56/x
  3. Step 3: Cross multiply
    45,638.72x = 68,456 × 32,330.56
  4. Step 4: Simplify right side
    45,638.72x = 2,213,220,815.36
  5. Step 5: Solve for x
    x = 2,213,220,815.36/45,638.72
  6. Step 6: Final answer
    x = 48,494.37

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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.