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Finding the Fourth Proportional to 83.93, 126.50 and 76.99

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Solution

The fourth proportional to 83.93, 126.50 and 76.99 is: 116.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.93 : 126.50 = 76.99 : x
  2. Step 2: Convert to fraction form
    83.93/126.50 = 76.99/x
  3. Step 3: Cross multiply
    83.93x = 126.50 × 76.99
  4. Step 4: Simplify right side
    83.93x = 9,739.24
  5. Step 5: Solve for x
    x = 9,739.24/83.93
  6. Step 6: Final answer
    x = 116.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.