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Finding the Fourth Proportional to 127,697.72, 191,571.24 and 43,454.48

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Solution

The fourth proportional to 127,697.72, 191,571.24 and 43,454.48 is: 65,190.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,697.72 : 191,571.24 = 43,454.48 : x
  2. Step 2: Convert to fraction form
    127,697.72/191,571.24 = 43,454.48/x
  3. Step 3: Cross multiply
    127,697.72x = 191,571.24 × 43,454.48
  4. Step 4: Simplify right side
    127,697.72x = 8,324,628,617.16
  5. Step 5: Solve for x
    x = 8,324,628,617.16/127,697.72
  6. Step 6: Final answer
    x = 65,190.11

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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.