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Finding the Fourth Proportional to 72,110.34, 108,163.62 and 32,638.68

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Solution

The fourth proportional to 72,110.34, 108,163.62 and 32,638.68 is: 48,957.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,110.34 : 108,163.62 = 32,638.68 : x
  2. Step 2: Convert to fraction form
    72,110.34/108,163.62 = 32,638.68/x
  3. Step 3: Cross multiply
    72,110.34x = 108,163.62 × 32,638.68
  4. Step 4: Simplify right side
    72,110.34x = 3,530,317,780.82
  5. Step 5: Solve for x
    x = 3,530,317,780.82/72,110.34
  6. Step 6: Final answer
    x = 48,957.16

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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.