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Finding the Fourth Proportional to 107.68, 162.10 and 92.02

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Solution

The fourth proportional to 107.68, 162.10 and 92.02 is: 138.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.68 : 162.10 = 92.02 : x
  2. Step 2: Convert to fraction form
    107.68/162.10 = 92.02/x
  3. Step 3: Cross multiply
    107.68x = 162.10 × 92.02
  4. Step 4: Simplify right side
    107.68x = 14,916.44
  5. Step 5: Solve for x
    x = 14,916.44/107.68
  6. Step 6: Final answer
    x = 138.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.