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Finding the Fourth Proportional to 84.17, 126.36 and 75.26

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Solution

The fourth proportional to 84.17, 126.36 and 75.26 is: 112.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.17 : 126.36 = 75.26 : x
  2. Step 2: Convert to fraction form
    84.17/126.36 = 75.26/x
  3. Step 3: Cross multiply
    84.17x = 126.36 × 75.26
  4. Step 4: Simplify right side
    84.17x = 9,510.17
  5. Step 5: Solve for x
    x = 9,510.17/84.17
  6. Step 6: Final answer
    x = 112.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.