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Finding the Fourth Proportional to 85.70, 117.93 and 82.06

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Solution

The fourth proportional to 85.70, 117.93 and 82.06 is: 112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.70 : 117.93 = 82.06 : x
  2. Step 2: Convert to fraction form
    85.70/117.93 = 82.06/x
  3. Step 3: Cross multiply
    85.70x = 117.93 × 82.06
  4. Step 4: Simplify right side
    85.70x = 9,677.34
  5. Step 5: Solve for x
    x = 9,677.34/85.70
  6. Step 6: Final answer
    x = 112.92

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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.