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Finding the Fourth Proportional to 105.47, 146.70 and 103.49

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Solution

The fourth proportional to 105.47, 146.70 and 103.49 is: 143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.47 : 146.70 = 103.49 : x
  2. Step 2: Convert to fraction form
    105.47/146.70 = 103.49/x
  3. Step 3: Cross multiply
    105.47x = 146.70 × 103.49
  4. Step 4: Simplify right side
    105.47x = 15,181.25
  5. Step 5: Solve for x
    x = 15,181.25/105.47
  6. Step 6: Final answer
    x = 143.95

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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.