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Finding the Fourth Proportional to 79.53, 118.77 and 78.69

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Solution

The fourth proportional to 79.53, 118.77 and 78.69 is: 117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.53 : 118.77 = 78.69 : x
  2. Step 2: Convert to fraction form
    79.53/118.77 = 78.69/x
  3. Step 3: Cross multiply
    79.53x = 118.77 × 78.69
  4. Step 4: Simplify right side
    79.53x = 9,346.01
  5. Step 5: Solve for x
    x = 9,346.01/79.53
  6. Step 6: Final answer
    x = 117.52

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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.