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Finding the Fourth Proportional to 85.75, 117.82 and 70.17

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Solution

The fourth proportional to 85.75, 117.82 and 70.17 is: 96.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.75 : 117.82 = 70.17 : x
  2. Step 2: Convert to fraction form
    85.75/117.82 = 70.17/x
  3. Step 3: Cross multiply
    85.75x = 117.82 × 70.17
  4. Step 4: Simplify right side
    85.75x = 8,267.43
  5. Step 5: Solve for x
    x = 8,267.43/85.75
  6. Step 6: Final answer
    x = 96.41

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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.