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Finding the Fourth Proportional to 65,976, 91,052.64 and 36,173.76

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Solution

The fourth proportional to 65,976, 91,052.64 and 36,173.76 is: 49,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,976 : 91,052.64 = 36,173.76 : x
  2. Step 2: Convert to fraction form
    65,976/91,052.64 = 36,173.76/x
  3. Step 3: Cross multiply
    65,976x = 91,052.64 × 36,173.76
  4. Step 4: Simplify right side
    65,976x = 3,293,716,346.73
  5. Step 5: Solve for x
    x = 3,293,716,346.73/65,976
  6. Step 6: Final answer
    x = 49,922.95

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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.