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Finding the Fourth Proportional to 83.95, 125.22 and 78.28

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Solution

The fourth proportional to 83.95, 125.22 and 78.28 is: 116.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.95 : 125.22 = 78.28 : x
  2. Step 2: Convert to fraction form
    83.95/125.22 = 78.28/x
  3. Step 3: Cross multiply
    83.95x = 125.22 × 78.28
  4. Step 4: Simplify right side
    83.95x = 9,802.22
  5. Step 5: Solve for x
    x = 9,802.22/83.95
  6. Step 6: Final answer
    x = 116.76

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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.