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Finding the Fourth Proportional to 82.61, 114.15 and 68.03

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Solution

The fourth proportional to 82.61, 114.15 and 68.03 is: 94.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.61 : 114.15 = 68.03 : x
  2. Step 2: Convert to fraction form
    82.61/114.15 = 68.03/x
  3. Step 3: Cross multiply
    82.61x = 114.15 × 68.03
  4. Step 4: Simplify right side
    82.61x = 7,765.05
  5. Step 5: Solve for x
    x = 7,765.05/82.61
  6. Step 6: Final answer
    x = 94.00

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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.