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Finding the Fourth Proportional to 127.10, 189.74 and 108.74

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Solution

The fourth proportional to 127.10, 189.74 and 108.74 is: 162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.10 : 189.74 = 108.74 : x
  2. Step 2: Convert to fraction form
    127.10/189.74 = 108.74/x
  3. Step 3: Cross multiply
    127.10x = 189.74 × 108.74
  4. Step 4: Simplify right side
    127.10x = 20,632.33
  5. Step 5: Solve for x
    x = 20,632.33/127.10
  6. Step 6: Final answer
    x = 162.33

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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.