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Finding the Fourth Proportional to 91.70, 125.80 and 83.60

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Solution

The fourth proportional to 91.70, 125.80 and 83.60 is: 114.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.70 : 125.80 = 83.60 : x
  2. Step 2: Convert to fraction form
    91.70/125.80 = 83.60/x
  3. Step 3: Cross multiply
    91.70x = 125.80 × 83.60
  4. Step 4: Simplify right side
    91.70x = 10,516.88
  5. Step 5: Solve for x
    x = 10,516.88/91.70
  6. Step 6: Final answer
    x = 114.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.