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Finding the Fourth Proportional to 84.50, 126.07 and 76.40

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Solution

The fourth proportional to 84.50, 126.07 and 76.40 is: 113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.50 : 126.07 = 76.40 : x
  2. Step 2: Convert to fraction form
    84.50/126.07 = 76.40/x
  3. Step 3: Cross multiply
    84.50x = 126.07 × 76.40
  4. Step 4: Simplify right side
    84.50x = 9,631.37
  5. Step 5: Solve for x
    x = 9,631.37/84.50
  6. Step 6: Final answer
    x = 113.98

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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.