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Finding the Fourth Proportional to 65,975, 91,051.26 and 36,172.76

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Solution

The fourth proportional to 65,975, 91,051.26 and 36,172.76 is: 49,921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,975 : 91,051.26 = 36,172.76 : x
  2. Step 2: Convert to fraction form
    65,975/91,051.26 = 36,172.76/x
  3. Step 3: Cross multiply
    65,975x = 91,051.26 × 36,172.76
  4. Step 4: Simplify right side
    65,975x = 3,293,575,375.68
  5. Step 5: Solve for x
    x = 3,293,575,375.68/65,975
  6. Step 6: Final answer
    x = 49,921.57

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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.