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Finding the Fourth Proportional to 104.54, 143.95 and 86.09

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Solution

The fourth proportional to 104.54, 143.95 and 86.09 is: 118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.54 : 143.95 = 86.09 : x
  2. Step 2: Convert to fraction form
    104.54/143.95 = 86.09/x
  3. Step 3: Cross multiply
    104.54x = 143.95 × 86.09
  4. Step 4: Simplify right side
    104.54x = 12,392.53
  5. Step 5: Solve for x
    x = 12,392.53/104.54
  6. Step 6: Final answer
    x = 118.54

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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.