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Finding the Fourth Proportional to 84.50, 116.35 and 72.19

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Solution

The fourth proportional to 84.50, 116.35 and 72.19 is: 99.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.50 : 116.35 = 72.19 : x
  2. Step 2: Convert to fraction form
    84.50/116.35 = 72.19/x
  3. Step 3: Cross multiply
    84.50x = 116.35 × 72.19
  4. Step 4: Simplify right side
    84.50x = 8,399.68
  5. Step 5: Solve for x
    x = 8,399.68/84.50
  6. Step 6: Final answer
    x = 99.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.