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Finding the Fourth Proportional to 65,965.44, 91,031.04 and 36,157.44

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Solution

The fourth proportional to 65,965.44, 91,031.04 and 36,157.44 is: 49,896.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,965.44 : 91,031.04 = 36,157.44 : x
  2. Step 2: Convert to fraction form
    65,965.44/91,031.04 = 36,157.44/x
  3. Step 3: Cross multiply
    65,965.44x = 91,031.04 × 36,157.44
  4. Step 4: Simplify right side
    65,965.44x = 3,291,449,366.94
  5. Step 5: Solve for x
    x = 3,291,449,366.94/65,965.44
  6. Step 6: Final answer
    x = 49,896.57

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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.