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Finding the Fourth Proportional to 65,761.26, 90,728.32 and 37,446.90

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Solution

The fourth proportional to 65,761.26, 90,728.32 and 37,446.90 is: 51,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,761.26 : 90,728.32 = 37,446.90 : x
  2. Step 2: Convert to fraction form
    65,761.26/90,728.32 = 37,446.90/x
  3. Step 3: Cross multiply
    65,761.26x = 90,728.32 × 37,446.90
  4. Step 4: Simplify right side
    65,761.26x = 3,397,494,326.21
  5. Step 5: Solve for x
    x = 3,397,494,326.21/65,761.26
  6. Step 6: Final answer
    x = 51,664.07

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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.