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Finding the Fourth Proportional to 105.81, 147.04 and 104.52

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Solution

The fourth proportional to 105.81, 147.04 and 104.52 is: 145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.81 : 147.04 = 104.52 : x
  2. Step 2: Convert to fraction form
    105.81/147.04 = 104.52/x
  3. Step 3: Cross multiply
    105.81x = 147.04 × 104.52
  4. Step 4: Simplify right side
    105.81x = 15,368.62
  5. Step 5: Solve for x
    x = 15,368.62/105.81
  6. Step 6: Final answer
    x = 145.25

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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.