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Finding the Fourth Proportional to 118,571.20, 177,856.80 and 105,092.80

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Solution

The fourth proportional to 118,571.20, 177,856.80 and 105,092.80 is: 157,639.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,571.20 : 177,856.80 = 105,092.80 : x
  2. Step 2: Convert to fraction form
    118,571.20/177,856.80 = 105,092.80/x
  3. Step 3: Cross multiply
    118,571.20x = 177,856.80 × 105,092.80
  4. Step 4: Simplify right side
    118,571.20x = 18,691,469,111.04
  5. Step 5: Solve for x
    x = 18,691,469,111.04/118,571.20
  6. Step 6: Final answer
    x = 157,639.20

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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.