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Finding the Fourth Proportional to 225,568.56, 311,143.68 and 145,100.88

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Solution

The fourth proportional to 225,568.56, 311,143.68 and 145,100.88 is: 200,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,568.56 : 311,143.68 = 145,100.88 : x
  2. Step 2: Convert to fraction form
    225,568.56/311,143.68 = 145,100.88/x
  3. Step 3: Cross multiply
    225,568.56x = 311,143.68 × 145,100.88
  4. Step 4: Simplify right side
    225,568.56x = 45,147,221,774.44
  5. Step 5: Solve for x
    x = 45,147,221,774.44/225,568.56
  6. Step 6: Final answer
    x = 200,148.56

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1.5x scale

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.