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Finding the Fourth Proportional to 102.35, 141.18 and 80.57

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Solution

The fourth proportional to 102.35, 141.18 and 80.57 is: 111.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.35 : 141.18 = 80.57 : x
  2. Step 2: Convert to fraction form
    102.35/141.18 = 80.57/x
  3. Step 3: Cross multiply
    102.35x = 141.18 × 80.57
  4. Step 4: Simplify right side
    102.35x = 11,374.87
  5. Step 5: Solve for x
    x = 11,374.87/102.35
  6. Step 6: Final answer
    x = 111.14

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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.