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Finding the Fourth Proportional to 102.41, 141.32 and 77.81

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Solution

The fourth proportional to 102.41, 141.32 and 77.81 is: 107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.41 : 141.32 = 77.81 : x
  2. Step 2: Convert to fraction form
    102.41/141.32 = 77.81/x
  3. Step 3: Cross multiply
    102.41x = 141.32 × 77.81
  4. Step 4: Simplify right side
    102.41x = 10,995.01
  5. Step 5: Solve for x
    x = 10,995.01/102.41
  6. Step 6: Final answer
    x = 107.37

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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.