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Finding the Fourth Proportional to 74.39, 110.93 and 71.22

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Solution

The fourth proportional to 74.39, 110.93 and 71.22 is: 106.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.39 : 110.93 = 71.22 : x
  2. Step 2: Convert to fraction form
    74.39/110.93 = 71.22/x
  3. Step 3: Cross multiply
    74.39x = 110.93 × 71.22
  4. Step 4: Simplify right side
    74.39x = 7,900.08
  5. Step 5: Solve for x
    x = 7,900.08/74.39
  6. Step 6: Final answer
    x = 106.21

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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.