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Finding the Fourth Proportional to 77.75, 117.18 and 73.34

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Solution

The fourth proportional to 77.75, 117.18 and 73.34 is: 110.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.75 : 117.18 = 73.34 : x
  2. Step 2: Convert to fraction form
    77.75/117.18 = 73.34/x
  3. Step 3: Cross multiply
    77.75x = 117.18 × 73.34
  4. Step 4: Simplify right side
    77.75x = 8,593.40
  5. Step 5: Solve for x
    x = 8,593.40/77.75
  6. Step 6: Final answer
    x = 110.53

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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.