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Finding the Fourth Proportional to 126.99, 189.77 and 96.21

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Solution

The fourth proportional to 126.99, 189.77 and 96.21 is: 143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.99 : 189.77 = 96.21 : x
  2. Step 2: Convert to fraction form
    126.99/189.77 = 96.21/x
  3. Step 3: Cross multiply
    126.99x = 189.77 × 96.21
  4. Step 4: Simplify right side
    126.99x = 18,257.29
  5. Step 5: Solve for x
    x = 18,257.29/126.99
  6. Step 6: Final answer
    x = 143.77

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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.