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Finding the Fourth Proportional to 256,900.38, 354,515.22 and 142,183.71

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Solution

The fourth proportional to 256,900.38, 354,515.22 and 142,183.71 is: 196,209.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,900.38 : 354,515.22 = 142,183.71 : x
  2. Step 2: Convert to fraction form
    256,900.38/354,515.22 = 142,183.71/x
  3. Step 3: Cross multiply
    256,900.38x = 354,515.22 × 142,183.71
  4. Step 4: Simplify right side
    256,900.38x = 50,406,289,231.07
  5. Step 5: Solve for x
    x = 50,406,289,231.07/256,900.38
  6. Step 6: Final answer
    x = 196,209.48

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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.