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Finding the Fourth Proportional to 127.77, 175.06 and 125.97

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Solution

The fourth proportional to 127.77, 175.06 and 125.97 is: 172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.77 : 175.06 = 125.97 : x
  2. Step 2: Convert to fraction form
    127.77/175.06 = 125.97/x
  3. Step 3: Cross multiply
    127.77x = 175.06 × 125.97
  4. Step 4: Simplify right side
    127.77x = 22,051.99
  5. Step 5: Solve for x
    x = 22,051.99/127.77
  6. Step 6: Final answer
    x = 172.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.