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Finding the Fourth Proportional to 127.16, 189.62 and 110.15

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Solution

The fourth proportional to 127.16, 189.62 and 110.15 is: 164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.16 : 189.62 = 110.15 : x
  2. Step 2: Convert to fraction form
    127.16/189.62 = 110.15/x
  3. Step 3: Cross multiply
    127.16x = 189.62 × 110.15
  4. Step 4: Simplify right side
    127.16x = 20,886.64
  5. Step 5: Solve for x
    x = 20,886.64/127.16
  6. Step 6: Final answer
    x = 164.25

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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.