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Finding the Fourth Proportional to 127, 189.44 and 107.83

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Solution

The fourth proportional to 127, 189.44 and 107.83 is: 160.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127 : 189.44 = 107.83 : x
  2. Step 2: Convert to fraction form
    127/189.44 = 107.83/x
  3. Step 3: Cross multiply
    127x = 189.44 × 107.83
  4. Step 4: Simplify right side
    127x = 20,427.32
  5. Step 5: Solve for x
    x = 20,427.32/127
  6. Step 6: Final answer
    x = 160.85

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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.