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Finding the Fourth Proportional to 65,201.25, 89,983.17 and 41,319.21

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Solution

The fourth proportional to 65,201.25, 89,983.17 and 41,319.21 is: 57,023.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,201.25 : 89,983.17 = 41,319.21 : x
  2. Step 2: Convert to fraction form
    65,201.25/89,983.17 = 41,319.21/x
  3. Step 3: Cross multiply
    65,201.25x = 89,983.17 × 41,319.21
  4. Step 4: Simplify right side
    65,201.25x = 3,718,033,497.70
  5. Step 5: Solve for x
    x = 3,718,033,497.70/65,201.25
  6. Step 6: Final answer
    x = 57,023.96

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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.