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Finding the Fourth Proportional to 107.90, 148.79 and 92.41

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Solution

The fourth proportional to 107.90, 148.79 and 92.41 is: 127.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.90 : 148.79 = 92.41 : x
  2. Step 2: Convert to fraction form
    107.90/148.79 = 92.41/x
  3. Step 3: Cross multiply
    107.90x = 148.79 × 92.41
  4. Step 4: Simplify right side
    107.90x = 13,749.02
  5. Step 5: Solve for x
    x = 13,749.02/107.90
  6. Step 6: Final answer
    x = 127.43

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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.