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Finding the Fourth Proportional to 73.73, 109.94 and 71.51

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Solution

The fourth proportional to 73.73, 109.94 and 71.51 is: 106.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.73 : 109.94 = 71.51 : x
  2. Step 2: Convert to fraction form
    73.73/109.94 = 71.51/x
  3. Step 3: Cross multiply
    73.73x = 109.94 × 71.51
  4. Step 4: Simplify right side
    73.73x = 7,860.90
  5. Step 5: Solve for x
    x = 7,860.90/73.73
  6. Step 6: Final answer
    x = 106.62

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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.