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Finding the Fourth Proportional to 127.14, 174.88 and 114.60

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Solution

The fourth proportional to 127.14, 174.88 and 114.60 is: 157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.14 : 174.88 = 114.60 : x
  2. Step 2: Convert to fraction form
    127.14/174.88 = 114.60/x
  3. Step 3: Cross multiply
    127.14x = 174.88 × 114.60
  4. Step 4: Simplify right side
    127.14x = 20,041.25
  5. Step 5: Solve for x
    x = 20,041.25/127.14
  6. Step 6: Final answer
    x = 157.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.