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Finding the Fourth Proportional to 127.63, 190.08 and 120.61

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Solution

The fourth proportional to 127.63, 190.08 and 120.61 is: 179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.63 : 190.08 = 120.61 : x
  2. Step 2: Convert to fraction form
    127.63/190.08 = 120.61/x
  3. Step 3: Cross multiply
    127.63x = 190.08 × 120.61
  4. Step 4: Simplify right side
    127.63x = 22,925.55
  5. Step 5: Solve for x
    x = 22,925.55/127.63
  6. Step 6: Final answer
    x = 179.63

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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.