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Finding the Fourth Proportional to 78.42, 108.22 and 45.67

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Solution

The fourth proportional to 78.42, 108.22 and 45.67 is: 63.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.42 : 108.22 = 45.67 : x
  2. Step 2: Convert to fraction form
    78.42/108.22 = 45.67/x
  3. Step 3: Cross multiply
    78.42x = 108.22 × 45.67
  4. Step 4: Simplify right side
    78.42x = 4,942.18
  5. Step 5: Solve for x
    x = 4,942.18/78.42
  6. Step 6: Final answer
    x = 63.02

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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.