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Finding the Fourth Proportional to 89.08, 134.17 and 77.81

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Solution

The fourth proportional to 89.08, 134.17 and 77.81 is: 117.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.08 : 134.17 = 77.81 : x
  2. Step 2: Convert to fraction form
    89.08/134.17 = 77.81/x
  3. Step 3: Cross multiply
    89.08x = 134.17 × 77.81
  4. Step 4: Simplify right side
    89.08x = 10,438.90
  5. Step 5: Solve for x
    x = 10,438.90/89.08
  6. Step 6: Final answer
    x = 117.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.