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Finding the Fourth Proportional to 73.82, 110.68 and 48.13

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Solution

The fourth proportional to 73.82, 110.68 and 48.13 is: 72.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.82 : 110.68 = 48.13 : x
  2. Step 2: Convert to fraction form
    73.82/110.68 = 48.13/x
  3. Step 3: Cross multiply
    73.82x = 110.68 × 48.13
  4. Step 4: Simplify right side
    73.82x = 5,327.03
  5. Step 5: Solve for x
    x = 5,327.03/73.82
  6. Step 6: Final answer
    x = 72.16

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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.