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Finding the Fourth Proportional to 85.69, 117.62 and 84.16

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Solution

The fourth proportional to 85.69, 117.62 and 84.16 is: 115.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.69 : 117.62 = 84.16 : x
  2. Step 2: Convert to fraction form
    85.69/117.62 = 84.16/x
  3. Step 3: Cross multiply
    85.69x = 117.62 × 84.16
  4. Step 4: Simplify right side
    85.69x = 9,898.90
  5. Step 5: Solve for x
    x = 9,898.90/85.69
  6. Step 6: Final answer
    x = 115.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.