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Finding the Fourth Proportional to 72,845.44, 109,286.94 and 39,556.96

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Solution

The fourth proportional to 72,845.44, 109,286.94 and 39,556.96 is: 59,345.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,845.44 : 109,286.94 = 39,556.96 : x
  2. Step 2: Convert to fraction form
    72,845.44/109,286.94 = 39,556.96/x
  3. Step 3: Cross multiply
    72,845.44x = 109,286.94 × 39,556.96
  4. Step 4: Simplify right side
    72,845.44x = 4,323,059,114.10
  5. Step 5: Solve for x
    x = 4,323,059,114.10/72,845.44
  6. Step 6: Final answer
    x = 59,345.64

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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.