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Finding the Fourth Proportional to 140,571.20, 193,980 and 76,896.32

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Solution

The fourth proportional to 140,571.20, 193,980 and 76,896.32 is: 106,112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,571.20 : 193,980 = 76,896.32 : x
  2. Step 2: Convert to fraction form
    140,571.20/193,980 = 76,896.32/x
  3. Step 3: Cross multiply
    140,571.20x = 193,980 × 76,896.32
  4. Step 4: Simplify right side
    140,571.20x = 14,916,348,153.60
  5. Step 5: Solve for x
    x = 14,916,348,153.60/140,571.20
  6. Step 6: Final answer
    x = 106,112.41

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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.