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Finding the Fourth Proportional to 74.41, 110.98 and 72.13

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Solution

The fourth proportional to 74.41, 110.98 and 72.13 is: 107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.41 : 110.98 = 72.13 : x
  2. Step 2: Convert to fraction form
    74.41/110.98 = 72.13/x
  3. Step 3: Cross multiply
    74.41x = 110.98 × 72.13
  4. Step 4: Simplify right side
    74.41x = 8,005.21
  5. Step 5: Solve for x
    x = 8,005.21/74.41
  6. Step 6: Final answer
    x = 107.59

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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.