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Finding the Fourth Proportional to 74,505, 111,756.96 and 30,131.22

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Solution

The fourth proportional to 74,505, 111,756.96 and 30,131.22 is: 45,196.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,505 : 111,756.96 = 30,131.22 : x
  2. Step 2: Convert to fraction form
    74,505/111,756.96 = 30,131.22/x
  3. Step 3: Cross multiply
    74,505x = 111,756.96 × 30,131.22
  4. Step 4: Simplify right side
    74,505x = 3,367,373,548.29
  5. Step 5: Solve for x
    x = 3,367,373,548.29/74,505
  6. Step 6: Final answer
    x = 45,196.61

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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.