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Finding the Fourth Proportional to 104.85, 145.04 and 92.61

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Solution

The fourth proportional to 104.85, 145.04 and 92.61 is: 128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.85 : 145.04 = 92.61 : x
  2. Step 2: Convert to fraction form
    104.85/145.04 = 92.61/x
  3. Step 3: Cross multiply
    104.85x = 145.04 × 92.61
  4. Step 4: Simplify right side
    104.85x = 13,431.69
  5. Step 5: Solve for x
    x = 13,431.69/104.85
  6. Step 6: Final answer
    x = 128.10

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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.