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Finding the Fourth Proportional to 92.94, 127.89 and 78.36

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Solution

The fourth proportional to 92.94, 127.89 and 78.36 is: 107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.94 : 127.89 = 78.36 : x
  2. Step 2: Convert to fraction form
    92.94/127.89 = 78.36/x
  3. Step 3: Cross multiply
    92.94x = 127.89 × 78.36
  4. Step 4: Simplify right side
    92.94x = 10,021.46
  5. Step 5: Solve for x
    x = 10,021.46/92.94
  6. Step 6: Final answer
    x = 107.83

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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.