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Finding the Fourth Proportional to 72,105.69, 108,140.28 and 21,493.04

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Solution

The fourth proportional to 72,105.69, 108,140.28 and 21,493.04 is: 32,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,105.69 : 108,140.28 = 21,493.04 : x
  2. Step 2: Convert to fraction form
    72,105.69/108,140.28 = 21,493.04/x
  3. Step 3: Cross multiply
    72,105.69x = 108,140.28 × 21,493.04
  4. Step 4: Simplify right side
    72,105.69x = 2,324,262,822.95
  5. Step 5: Solve for x
    x = 2,324,262,822.95/72,105.69
  6. Step 6: Final answer
    x = 32,234.11

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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.