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Finding the Fourth Proportional to 72,973.97, 100,704.20 and 41,142.78

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Solution

The fourth proportional to 72,973.97, 100,704.20 and 41,142.78 is: 56,777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,973.97 : 100,704.20 = 41,142.78 : x
  2. Step 2: Convert to fraction form
    72,973.97/100,704.20 = 41,142.78/x
  3. Step 3: Cross multiply
    72,973.97x = 100,704.20 × 41,142.78
  4. Step 4: Simplify right side
    72,973.97x = 4,143,250,539.96
  5. Step 5: Solve for x
    x = 4,143,250,539.96/72,973.97
  6. Step 6: Final answer
    x = 56,777.11

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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.