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Finding the Fourth Proportional to 127.37, 175.74 and 78.23

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Solution

The fourth proportional to 127.37, 175.74 and 78.23 is: 107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.37 : 175.74 = 78.23 : x
  2. Step 2: Convert to fraction form
    127.37/175.74 = 78.23/x
  3. Step 3: Cross multiply
    127.37x = 175.74 × 78.23
  4. Step 4: Simplify right side
    127.37x = 13,748.14
  5. Step 5: Solve for x
    x = 13,748.14/127.37
  6. Step 6: Final answer
    x = 107.94

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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.