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Finding the Fourth Proportional to 65,884.21, 90,918.54 and 36,812.82

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Solution

The fourth proportional to 65,884.21, 90,918.54 and 36,812.82 is: 50,800.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,884.21 : 90,918.54 = 36,812.82 : x
  2. Step 2: Convert to fraction form
    65,884.21/90,918.54 = 36,812.82/x
  3. Step 3: Cross multiply
    65,884.21x = 90,918.54 × 36,812.82
  4. Step 4: Simplify right side
    65,884.21x = 3,346,967,847.68
  5. Step 5: Solve for x
    x = 3,346,967,847.68/65,884.21
  6. Step 6: Final answer
    x = 50,800.76

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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.