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Finding the Fourth Proportional to 78.24, 116.61 and 77.67

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Solution

The fourth proportional to 78.24, 116.61 and 77.67 is: 115.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.24 : 116.61 = 77.67 : x
  2. Step 2: Convert to fraction form
    78.24/116.61 = 77.67/x
  3. Step 3: Cross multiply
    78.24x = 116.61 × 77.67
  4. Step 4: Simplify right side
    78.24x = 9,057.10
  5. Step 5: Solve for x
    x = 9,057.10/78.24
  6. Step 6: Final answer
    x = 115.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.