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Finding the Fourth Proportional to 190,396.80, 285,400.80 and 111,470.40

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Solution

The fourth proportional to 190,396.80, 285,400.80 and 111,470.40 is: 167,091.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,396.80 : 285,400.80 = 111,470.40 : x
  2. Step 2: Convert to fraction form
    190,396.80/285,400.80 = 111,470.40/x
  3. Step 3: Cross multiply
    190,396.80x = 285,400.80 × 111,470.40
  4. Step 4: Simplify right side
    190,396.80x = 31,813,741,336.32
  5. Step 5: Solve for x
    x = 31,813,741,336.32/190,396.80
  6. Step 6: Final answer
    x = 167,091.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.