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Finding the Fourth Proportional to 65,974.26, 91,047.72 and 36,166.26

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Solution

The fourth proportional to 65,974.26, 91,047.72 and 36,166.26 is: 49,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,974.26 : 91,047.72 = 36,166.26 : x
  2. Step 2: Convert to fraction form
    65,974.26/91,047.72 = 36,166.26/x
  3. Step 3: Cross multiply
    65,974.26x = 91,047.72 × 36,166.26
  4. Step 4: Simplify right side
    65,974.26x = 3,292,855,513.93
  5. Step 5: Solve for x
    x = 3,292,855,513.93/65,974.26
  6. Step 6: Final answer
    x = 49,911.22

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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.