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Finding the Fourth Proportional to 65,871.29, 90,899.21 and 37,194.26

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Solution

The fourth proportional to 65,871.29, 90,899.21 and 37,194.26 is: 51,326.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,871.29 : 90,899.21 = 37,194.26 : x
  2. Step 2: Convert to fraction form
    65,871.29/90,899.21 = 37,194.26/x
  3. Step 3: Cross multiply
    65,871.29x = 90,899.21 × 37,194.26
  4. Step 4: Simplify right side
    65,871.29x = 3,380,928,489.02
  5. Step 5: Solve for x
    x = 3,380,928,489.02/65,871.29
  6. Step 6: Final answer
    x = 51,326.28

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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.