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Finding the Fourth Proportional to 141.59, 195.39 and 89.12

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Solution

The fourth proportional to 141.59, 195.39 and 89.12 is: 122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.59 : 195.39 = 89.12 : x
  2. Step 2: Convert to fraction form
    141.59/195.39 = 89.12/x
  3. Step 3: Cross multiply
    141.59x = 195.39 × 89.12
  4. Step 4: Simplify right side
    141.59x = 17,413.16
  5. Step 5: Solve for x
    x = 17,413.16/141.59
  6. Step 6: Final answer
    x = 122.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.