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Finding the Fourth Proportional to 75,121.46, 103,668.84 and 41,129.38

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Solution

The fourth proportional to 75,121.46, 103,668.84 and 41,129.38 is: 56,759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,121.46 : 103,668.84 = 41,129.38 : x
  2. Step 2: Convert to fraction form
    75,121.46/103,668.84 = 41,129.38/x
  3. Step 3: Cross multiply
    75,121.46x = 103,668.84 × 41,129.38
  4. Step 4: Simplify right side
    75,121.46x = 4,263,835,114.52
  5. Step 5: Solve for x
    x = 4,263,835,114.52/75,121.46
  6. Step 6: Final answer
    x = 56,759.22

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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.