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Finding the Fourth Proportional to 79.48, 109.01 and 78.54

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Solution

The fourth proportional to 79.48, 109.01 and 78.54 is: 107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.48 : 109.01 = 78.54 : x
  2. Step 2: Convert to fraction form
    79.48/109.01 = 78.54/x
  3. Step 3: Cross multiply
    79.48x = 109.01 × 78.54
  4. Step 4: Simplify right side
    79.48x = 8,561.65
  5. Step 5: Solve for x
    x = 8,561.65/79.48
  6. Step 6: Final answer
    x = 107.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.