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Finding the Fourth Proportional to 72,975.64, 100,704.96 and 41,143.92

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Solution

The fourth proportional to 72,975.64, 100,704.96 and 41,143.92 is: 56,777.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,975.64 : 100,704.96 = 41,143.92 : x
  2. Step 2: Convert to fraction form
    72,975.64/100,704.96 = 41,143.92/x
  3. Step 3: Cross multiply
    72,975.64x = 100,704.96 × 41,143.92
  4. Step 4: Simplify right side
    72,975.64x = 4,143,396,817.84
  5. Step 5: Solve for x
    x = 4,143,396,817.84/72,975.64
  6. Step 6: Final answer
    x = 56,777.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.