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Finding the Fourth Proportional to 75.22, 111.87 and 73.68

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Solution

The fourth proportional to 75.22, 111.87 and 73.68 is: 109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.22 : 111.87 = 73.68 : x
  2. Step 2: Convert to fraction form
    75.22/111.87 = 73.68/x
  3. Step 3: Cross multiply
    75.22x = 111.87 × 73.68
  4. Step 4: Simplify right side
    75.22x = 8,242.58
  5. Step 5: Solve for x
    x = 8,242.58/75.22
  6. Step 6: Final answer
    x = 109.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.