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Finding the Fourth Proportional to 109,183.84, 150,643.43 and 65,565.14

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Solution

The fourth proportional to 109,183.84, 150,643.43 and 65,565.14 is: 90,461.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,183.84 : 150,643.43 = 65,565.14 : x
  2. Step 2: Convert to fraction form
    109,183.84/150,643.43 = 65,565.14/x
  3. Step 3: Cross multiply
    109,183.84x = 150,643.43 × 65,565.14
  4. Step 4: Simplify right side
    109,183.84x = 9,876,956,884.08
  5. Step 5: Solve for x
    x = 9,876,956,884.08/109,183.84
  6. Step 6: Final answer
    x = 90,461.71

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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.