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Finding the Fourth Proportional to 104.59, 145.49 and 102.61

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Solution

The fourth proportional to 104.59, 145.49 and 102.61 is: 142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.59 : 145.49 = 102.61 : x
  2. Step 2: Convert to fraction form
    104.59/145.49 = 102.61/x
  3. Step 3: Cross multiply
    104.59x = 145.49 × 102.61
  4. Step 4: Simplify right side
    104.59x = 14,928.73
  5. Step 5: Solve for x
    x = 14,928.73/104.59
  6. Step 6: Final answer
    x = 142.74

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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.