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Finding the Fourth Proportional to 79.07, 117.86 and 78.77

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Solution

The fourth proportional to 79.07, 117.86 and 78.77 is: 117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.07 : 117.86 = 78.77 : x
  2. Step 2: Convert to fraction form
    79.07/117.86 = 78.77/x
  3. Step 3: Cross multiply
    79.07x = 117.86 × 78.77
  4. Step 4: Simplify right side
    79.07x = 9,282.85
  5. Step 5: Solve for x
    x = 9,282.85/79.07
  6. Step 6: Final answer
    x = 117.41

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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.