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Finding the Fourth Proportional to 102.85, 142.07 and 92.48

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Solution

The fourth proportional to 102.85, 142.07 and 92.48 is: 127.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.85 : 142.07 = 92.48 : x
  2. Step 2: Convert to fraction form
    102.85/142.07 = 92.48/x
  3. Step 3: Cross multiply
    102.85x = 142.07 × 92.48
  4. Step 4: Simplify right side
    102.85x = 13,137.46
  5. Step 5: Solve for x
    x = 13,137.46/102.85
  6. Step 6: Final answer
    x = 127.74

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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.