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Finding the Fourth Proportional to 79.71, 110.05 and 61.25

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Solution

The fourth proportional to 79.71, 110.05 and 61.25 is: 84.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.71 : 110.05 = 61.25 : x
  2. Step 2: Convert to fraction form
    79.71/110.05 = 61.25/x
  3. Step 3: Cross multiply
    79.71x = 110.05 × 61.25
  4. Step 4: Simplify right side
    79.71x = 6,740.68
  5. Step 5: Solve for x
    x = 6,740.68/79.71
  6. Step 6: Final answer
    x = 84.57

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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.