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Finding the Fourth Proportional to 73,170, 109,614.76 and 43,498

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Solution

The fourth proportional to 73,170, 109,614.76 and 43,498 is: 65,163.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,170 : 109,614.76 = 43,498 : x
  2. Step 2: Convert to fraction form
    73,170/109,614.76 = 43,498/x
  3. Step 3: Cross multiply
    73,170x = 109,614.76 × 43,498
  4. Step 4: Simplify right side
    73,170x = 4,768,022,830.48
  5. Step 5: Solve for x
    x = 4,768,022,830.48/73,170
  6. Step 6: Final answer
    x = 65,163.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.