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Finding the Fourth Proportional to 73.09, 109.70 and 34.57

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Solution

The fourth proportional to 73.09, 109.70 and 34.57 is: 51.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.09 : 109.70 = 34.57 : x
  2. Step 2: Convert to fraction form
    73.09/109.70 = 34.57/x
  3. Step 3: Cross multiply
    73.09x = 109.70 × 34.57
  4. Step 4: Simplify right side
    73.09x = 3,791.61
  5. Step 5: Solve for x
    x = 3,791.61/73.09
  6. Step 6: Final answer
    x = 51.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.