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Finding the Fourth Proportional to 84.60, 117.44 and 83.68

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Solution

The fourth proportional to 84.60, 117.44 and 83.68 is: 116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.60 : 117.44 = 83.68 : x
  2. Step 2: Convert to fraction form
    84.60/117.44 = 83.68/x
  3. Step 3: Cross multiply
    84.60x = 117.44 × 83.68
  4. Step 4: Simplify right side
    84.60x = 9,827.38
  5. Step 5: Solve for x
    x = 9,827.38/84.60
  6. Step 6: Final answer
    x = 116.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.