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Finding the Fourth Proportional to 106.83, 147.56 and 92.97

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Solution

The fourth proportional to 106.83, 147.56 and 92.97 is: 128.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.83 : 147.56 = 92.97 : x
  2. Step 2: Convert to fraction form
    106.83/147.56 = 92.97/x
  3. Step 3: Cross multiply
    106.83x = 147.56 × 92.97
  4. Step 4: Simplify right side
    106.83x = 13,718.19
  5. Step 5: Solve for x
    x = 13,718.19/106.83
  6. Step 6: Final answer
    x = 128.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.