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Finding the Fourth Proportional to 78.83, 118.32 and 73.97

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Solution

The fourth proportional to 78.83, 118.32 and 73.97 is: 111.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.83 : 118.32 = 73.97 : x
  2. Step 2: Convert to fraction form
    78.83/118.32 = 73.97/x
  3. Step 3: Cross multiply
    78.83x = 118.32 × 73.97
  4. Step 4: Simplify right side
    78.83x = 8,752.13
  5. Step 5: Solve for x
    x = 8,752.13/78.83
  6. Step 6: Final answer
    x = 111.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.