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Finding the Fourth Proportional to 78.21, 116.67 and 73.56

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Solution

The fourth proportional to 78.21, 116.67 and 73.56 is: 109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.21 : 116.67 = 73.56 : x
  2. Step 2: Convert to fraction form
    78.21/116.67 = 73.56/x
  3. Step 3: Cross multiply
    78.21x = 116.67 × 73.56
  4. Step 4: Simplify right side
    78.21x = 8,582.25
  5. Step 5: Solve for x
    x = 8,582.25/78.21
  6. Step 6: Final answer
    x = 109.73

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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.