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Finding the Fourth Proportional to 105.84, 147.23 and 103.86

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Solution

The fourth proportional to 105.84, 147.23 and 103.86 is: 144.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.84 : 147.23 = 103.86 : x
  2. Step 2: Convert to fraction form
    105.84/147.23 = 103.86/x
  3. Step 3: Cross multiply
    105.84x = 147.23 × 103.86
  4. Step 4: Simplify right side
    105.84x = 15,290.79
  5. Step 5: Solve for x
    x = 15,290.79/105.84
  6. Step 6: Final answer
    x = 144.47

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.