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Finding the Fourth Proportional to 123.81, 170.82 and 101.94

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Solution

The fourth proportional to 123.81, 170.82 and 101.94 is: 140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.81 : 170.82 = 101.94 : x
  2. Step 2: Convert to fraction form
    123.81/170.82 = 101.94/x
  3. Step 3: Cross multiply
    123.81x = 170.82 × 101.94
  4. Step 4: Simplify right side
    123.81x = 17,413.39
  5. Step 5: Solve for x
    x = 17,413.39/123.81
  6. Step 6: Final answer
    x = 140.65

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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.