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Finding the Fourth Proportional to 82.01, 112.54 and 78.82

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Solution

The fourth proportional to 82.01, 112.54 and 78.82 is: 108.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.01 : 112.54 = 78.82 : x
  2. Step 2: Convert to fraction form
    82.01/112.54 = 78.82/x
  3. Step 3: Cross multiply
    82.01x = 112.54 × 78.82
  4. Step 4: Simplify right side
    82.01x = 8,870.71
  5. Step 5: Solve for x
    x = 8,870.71/82.01
  6. Step 6: Final answer
    x = 108.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.