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Finding the Fourth Proportional to 103.06, 141.78 and 86.46

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Solution

The fourth proportional to 103.06, 141.78 and 86.46 is: 118.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.06 : 141.78 = 86.46 : x
  2. Step 2: Convert to fraction form
    103.06/141.78 = 86.46/x
  3. Step 3: Cross multiply
    103.06x = 141.78 × 86.46
  4. Step 4: Simplify right side
    103.06x = 12,258.30
  5. Step 5: Solve for x
    x = 12,258.30/103.06
  6. Step 6: Final answer
    x = 118.94

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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.