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Finding the Fourth Proportional to 73.63, 109.21 and 72.55

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Solution

The fourth proportional to 73.63, 109.21 and 72.55 is: 107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.63 : 109.21 = 72.55 : x
  2. Step 2: Convert to fraction form
    73.63/109.21 = 72.55/x
  3. Step 3: Cross multiply
    73.63x = 109.21 × 72.55
  4. Step 4: Simplify right side
    73.63x = 7,923.19
  5. Step 5: Solve for x
    x = 7,923.19/73.63
  6. Step 6: Final answer
    x = 107.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.