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Finding the Fourth Proportional to 73.84, 110.75 and 19.72

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Solution

The fourth proportional to 73.84, 110.75 and 19.72 is: 29.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.84 : 110.75 = 19.72 : x
  2. Step 2: Convert to fraction form
    73.84/110.75 = 19.72/x
  3. Step 3: Cross multiply
    73.84x = 110.75 × 19.72
  4. Step 4: Simplify right side
    73.84x = 2,184.25
  5. Step 5: Solve for x
    x = 2,184.25/73.84
  6. Step 6: Final answer
    x = 29.58

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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.