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Finding the Fourth Proportional to 109,728.45, 164,568.02 and 65,367.81

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Solution

The fourth proportional to 109,728.45, 164,568.02 and 65,367.81 is: 98,037.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,728.45 : 164,568.02 = 65,367.81 : x
  2. Step 2: Convert to fraction form
    109,728.45/164,568.02 = 65,367.81/x
  3. Step 3: Cross multiply
    109,728.45x = 164,568.02 × 65,367.81
  4. Step 4: Simplify right side
    109,728.45x = 10,757,450,736.60
  5. Step 5: Solve for x
    x = 10,757,450,736.60/109,728.45
  6. Step 6: Final answer
    x = 98,037.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.