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Finding the Fourth Proportional to 75.70, 114 and 68.56

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Solution

The fourth proportional to 75.70, 114 and 68.56 is: 103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.70 : 114 = 68.56 : x
  2. Step 2: Convert to fraction form
    75.70/114 = 68.56/x
  3. Step 3: Cross multiply
    75.70x = 114 × 68.56
  4. Step 4: Simplify right side
    75.70x = 7,815.84
  5. Step 5: Solve for x
    x = 7,815.84/75.70
  6. Step 6: Final answer
    x = 103.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.