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Finding the Fourth Proportional to 65,883.21, 90,917.16 and 36,811.82

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Solution

The fourth proportional to 65,883.21, 90,917.16 and 36,811.82 is: 50,799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,883.21 : 90,917.16 = 36,811.82 : x
  2. Step 2: Convert to fraction form
    65,883.21/90,917.16 = 36,811.82/x
  3. Step 3: Cross multiply
    65,883.21x = 90,917.16 × 36,811.82
  4. Step 4: Simplify right side
    65,883.21x = 3,346,825,674.25
  5. Step 5: Solve for x
    x = 3,346,825,674.25/65,883.21
  6. Step 6: Final answer
    x = 50,799.37

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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.