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Finding the Fourth Proportional to 73.98, 110.12 and 72.06

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Solution

The fourth proportional to 73.98, 110.12 and 72.06 is: 107.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.98 : 110.12 = 72.06 : x
  2. Step 2: Convert to fraction form
    73.98/110.12 = 72.06/x
  3. Step 3: Cross multiply
    73.98x = 110.12 × 72.06
  4. Step 4: Simplify right side
    73.98x = 7,934.89
  5. Step 5: Solve for x
    x = 7,934.89/73.98
  6. Step 6: Final answer
    x = 107.26

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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.