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Finding the Fourth Proportional to 225,356.46, 311,202.66 and 144,923.61

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Solution

The fourth proportional to 225,356.46, 311,202.66 and 144,923.61 is: 200,130.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,356.46 : 311,202.66 = 144,923.61 : x
  2. Step 2: Convert to fraction form
    225,356.46/311,202.66 = 144,923.61/x
  3. Step 3: Cross multiply
    225,356.46x = 311,202.66 × 144,923.61
  4. Step 4: Simplify right side
    225,356.46x = 45,100,612,928.80
  5. Step 5: Solve for x
    x = 45,100,612,928.80/225,356.46
  6. Step 6: Final answer
    x = 200,130.11

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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.