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Finding the Fourth Proportional to 82.44, 123.06 and 77.85

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Solution

The fourth proportional to 82.44, 123.06 and 77.85 is: 116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.44 : 123.06 = 77.85 : x
  2. Step 2: Convert to fraction form
    82.44/123.06 = 77.85/x
  3. Step 3: Cross multiply
    82.44x = 123.06 × 77.85
  4. Step 4: Simplify right side
    82.44x = 9,580.51
  5. Step 5: Solve for x
    x = 9,580.51/82.44
  6. Step 6: Final answer
    x = 116.21

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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.