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Finding the Fourth Proportional to 83.09, 114.71 and 54.03

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Solution

The fourth proportional to 83.09, 114.71 and 54.03 is: 74.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.09 : 114.71 = 54.03 : x
  2. Step 2: Convert to fraction form
    83.09/114.71 = 54.03/x
  3. Step 3: Cross multiply
    83.09x = 114.71 × 54.03
  4. Step 4: Simplify right side
    83.09x = 6,197.34
  5. Step 5: Solve for x
    x = 6,197.34/83.09
  6. Step 6: Final answer
    x = 74.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.