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Finding the Fourth Proportional to 127, 189.50 and 109.72

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Solution

The fourth proportional to 127, 189.50 and 109.72 is: 163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127 : 189.50 = 109.72 : x
  2. Step 2: Convert to fraction form
    127/189.50 = 109.72/x
  3. Step 3: Cross multiply
    127x = 189.50 × 109.72
  4. Step 4: Simplify right side
    127x = 20,791.94
  5. Step 5: Solve for x
    x = 20,791.94/127
  6. Step 6: Final answer
    x = 163.72

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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.