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Finding the Fourth Proportional to 84.04, 126.36 and 83.50

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Solution

The fourth proportional to 84.04, 126.36 and 83.50 is: 125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.04 : 126.36 = 83.50 : x
  2. Step 2: Convert to fraction form
    84.04/126.36 = 83.50/x
  3. Step 3: Cross multiply
    84.04x = 126.36 × 83.50
  4. Step 4: Simplify right side
    84.04x = 10,551.06
  5. Step 5: Solve for x
    x = 10,551.06/84.04
  6. Step 6: Final answer
    x = 125.55

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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.