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Finding the Fourth Proportional to 105.84, 147.06 and 104.71

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Solution

The fourth proportional to 105.84, 147.06 and 104.71 is: 145.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.84 : 147.06 = 104.71 : x
  2. Step 2: Convert to fraction form
    105.84/147.06 = 104.71/x
  3. Step 3: Cross multiply
    105.84x = 147.06 × 104.71
  4. Step 4: Simplify right side
    105.84x = 15,398.65
  5. Step 5: Solve for x
    x = 15,398.65/105.84
  6. Step 6: Final answer
    x = 145.49

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