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Finding the Fourth Proportional to 78.30, 108.02 and 50.67

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Solution

The fourth proportional to 78.30, 108.02 and 50.67 is: 69.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.30 : 108.02 = 50.67 : x
  2. Step 2: Convert to fraction form
    78.30/108.02 = 50.67/x
  3. Step 3: Cross multiply
    78.30x = 108.02 × 50.67
  4. Step 4: Simplify right side
    78.30x = 5,473.12
  5. Step 5: Solve for x
    x = 5,473.12/78.30
  6. Step 6: Final answer
    x = 69.90

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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.