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Finding the Fourth Proportional to 225,574.44, 311,151.96 and 145,106.88

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Solution

The fourth proportional to 225,574.44, 311,151.96 and 145,106.88 is: 200,156.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,574.44 : 311,151.96 = 145,106.88 : x
  2. Step 2: Convert to fraction form
    225,574.44/311,151.96 = 145,106.88/x
  3. Step 3: Cross multiply
    225,574.44x = 311,151.96 × 145,106.88
  4. Step 4: Simplify right side
    225,574.44x = 45,150,290,121.48
  5. Step 5: Solve for x
    x = 45,150,290,121.48/225,574.44
  6. Step 6: Final answer
    x = 200,156.94

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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.