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Finding the Fourth Proportional to 82.83, 123.51 and 77.06

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Solution

The fourth proportional to 82.83, 123.51 and 77.06 is: 114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.83 : 123.51 = 77.06 : x
  2. Step 2: Convert to fraction form
    82.83/123.51 = 77.06/x
  3. Step 3: Cross multiply
    82.83x = 123.51 × 77.06
  4. Step 4: Simplify right side
    82.83x = 9,517.06
  5. Step 5: Solve for x
    x = 9,517.06/82.83
  6. Step 6: Final answer
    x = 114.90

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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.