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Finding the Fourth Proportional to 127.15, 189.78 and 110.86

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Solution

The fourth proportional to 127.15, 189.78 and 110.86 is: 165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.15 : 189.78 = 110.86 : x
  2. Step 2: Convert to fraction form
    127.15/189.78 = 110.86/x
  3. Step 3: Cross multiply
    127.15x = 189.78 × 110.86
  4. Step 4: Simplify right side
    127.15x = 21,039.01
  5. Step 5: Solve for x
    x = 21,039.01/127.15
  6. Step 6: Final answer
    x = 165.47

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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.