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Finding the Fourth Proportional to 65,694.68, 90,629.84 and 40,202.26

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Solution

The fourth proportional to 65,694.68, 90,629.84 and 40,202.26 is: 55,461.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,694.68 : 90,629.84 = 40,202.26 : x
  2. Step 2: Convert to fraction form
    65,694.68/90,629.84 = 40,202.26/x
  3. Step 3: Cross multiply
    65,694.68x = 90,629.84 × 40,202.26
  4. Step 4: Simplify right side
    65,694.68x = 3,643,524,391.44
  5. Step 5: Solve for x
    x = 3,643,524,391.44/65,694.68
  6. Step 6: Final answer
    x = 55,461.48

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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.