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Finding the Fourth Proportional to 65,736.63, 90,709.29 and 40,249.41

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Solution

The fourth proportional to 65,736.63, 90,709.29 and 40,249.41 is: 55,539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,736.63 : 90,709.29 = 40,249.41 : x
  2. Step 2: Convert to fraction form
    65,736.63/90,709.29 = 40,249.41/x
  3. Step 3: Cross multiply
    65,736.63x = 90,709.29 × 40,249.41
  4. Step 4: Simplify right side
    65,736.63x = 3,650,995,404.02
  5. Step 5: Solve for x
    x = 3,650,995,404.02/65,736.63
  6. Step 6: Final answer
    x = 55,539.74

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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.