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Finding the Fourth Proportional to 76.23, 104.63 and 75.83

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Solution

The fourth proportional to 76.23, 104.63 and 75.83 is: 104.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.23 : 104.63 = 75.83 : x
  2. Step 2: Convert to fraction form
    76.23/104.63 = 75.83/x
  3. Step 3: Cross multiply
    76.23x = 104.63 × 75.83
  4. Step 4: Simplify right side
    76.23x = 7,933.19
  5. Step 5: Solve for x
    x = 7,933.19/76.23
  6. Step 6: Final answer
    x = 104.07

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Why These Related Problems?

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