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Finding the Fourth Proportional to 127.86, 175.70 and 104.51

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Solution

The fourth proportional to 127.86, 175.70 and 104.51 is: 143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.86 : 175.70 = 104.51 : x
  2. Step 2: Convert to fraction form
    127.86/175.70 = 104.51/x
  3. Step 3: Cross multiply
    127.86x = 175.70 × 104.51
  4. Step 4: Simplify right side
    127.86x = 18,361.01
  5. Step 5: Solve for x
    x = 18,361.01/127.86
  6. Step 6: Final answer
    x = 143.60

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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.