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Finding the Fourth Proportional to 72,194.81, 108,310.68 and 27,809.64

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Solution

The fourth proportional to 72,194.81, 108,310.68 and 27,809.64 is: 41,721.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,194.81 : 108,310.68 = 27,809.64 : x
  2. Step 2: Convert to fraction form
    72,194.81/108,310.68 = 27,809.64/x
  3. Step 3: Cross multiply
    72,194.81x = 108,310.68 × 27,809.64
  4. Step 4: Simplify right side
    72,194.81x = 3,012,081,018.96
  5. Step 5: Solve for x
    x = 3,012,081,018.96/72,194.81
  6. Step 6: Final answer
    x = 41,721.58

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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.