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Finding the Fourth Proportional to 127.34, 175.66 and 78.19

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Solution

The fourth proportional to 127.34, 175.66 and 78.19 is: 107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.34 : 175.66 = 78.19 : x
  2. Step 2: Convert to fraction form
    127.34/175.66 = 78.19/x
  3. Step 3: Cross multiply
    127.34x = 175.66 × 78.19
  4. Step 4: Simplify right side
    127.34x = 13,734.22
  5. Step 5: Solve for x
    x = 13,734.22/127.34
  6. Step 6: Final answer
    x = 107.85

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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.