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Finding the Fourth Proportional to 79, 109.08 and 61.84

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Solution

The fourth proportional to 79, 109.08 and 61.84 is: 85.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    79 : 109.08 = 61.84 : x
  2. Step 2: Convert to fraction form
    79/109.08 = 61.84/x
  3. Step 3: Cross multiply
    79x = 109.08 × 61.84
  4. Step 4: Simplify right side
    79x = 6,745.51
  5. Step 5: Solve for x
    x = 6,745.51/79
  6. Step 6: Final answer
    x = 85.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.