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Finding the Fourth Proportional to 73.09, 109.61 and 21.74

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Solution

The fourth proportional to 73.09, 109.61 and 21.74 is: 32.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.09 : 109.61 = 21.74 : x
  2. Step 2: Convert to fraction form
    73.09/109.61 = 21.74/x
  3. Step 3: Cross multiply
    73.09x = 109.61 × 21.74
  4. Step 4: Simplify right side
    73.09x = 2,382.35
  5. Step 5: Solve for x
    x = 2,382.35/73.09
  6. Step 6: Final answer
    x = 32.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.