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Finding the Fourth Proportional to 225,551.94, 311,120.91 and 145,084.38

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Solution

The fourth proportional to 225,551.94, 311,120.91 and 145,084.38 is: 200,125.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,551.94 : 311,120.91 = 145,084.38 : x
  2. Step 2: Convert to fraction form
    225,551.94/311,120.91 = 145,084.38/x
  3. Step 3: Cross multiply
    225,551.94x = 311,120.91 × 145,084.38
  4. Step 4: Simplify right side
    225,551.94x = 45,138,784,332.39
  5. Step 5: Solve for x
    x = 45,138,784,332.39/225,551.94
  6. Step 6: Final answer
    x = 200,125.90

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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.