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Finding the Fourth Proportional to 79.42, 109.80 and 61.06

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Solution

The fourth proportional to 79.42, 109.80 and 61.06 is: 84.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.42 : 109.80 = 61.06 : x
  2. Step 2: Convert to fraction form
    79.42/109.80 = 61.06/x
  3. Step 3: Cross multiply
    79.42x = 109.80 × 61.06
  4. Step 4: Simplify right side
    79.42x = 6,704.11
  5. Step 5: Solve for x
    x = 6,704.11/79.42
  6. Step 6: Final answer
    x = 84.42

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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.