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Finding the Fourth Proportional to 123.79, 170.81 and 68.53

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Solution

The fourth proportional to 123.79, 170.81 and 68.53 is: 94.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.79 : 170.81 = 68.53 : x
  2. Step 2: Convert to fraction form
    123.79/170.81 = 68.53/x
  3. Step 3: Cross multiply
    123.79x = 170.81 × 68.53
  4. Step 4: Simplify right side
    123.79x = 11,704.93
  5. Step 5: Solve for x
    x = 11,704.93/123.79
  6. Step 6: Final answer
    x = 94.56

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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.