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Finding the Fourth Proportional to 127.42, 190.91 and 73.18

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Solution

The fourth proportional to 127.42, 190.91 and 73.18 is: 109.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.42 : 190.91 = 73.18 : x
  2. Step 2: Convert to fraction form
    127.42/190.91 = 73.18/x
  3. Step 3: Cross multiply
    127.42x = 190.91 × 73.18
  4. Step 4: Simplify right side
    127.42x = 13,969.84
  5. Step 5: Solve for x
    x = 13,969.84/127.42
  6. Step 6: Final answer
    x = 109.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.