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Finding the Fourth Proportional to 85.87, 117.01 and 83.89

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Solution

The fourth proportional to 85.87, 117.01 and 83.89 is: 114.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.87 : 117.01 = 83.89 : x
  2. Step 2: Convert to fraction form
    85.87/117.01 = 83.89/x
  3. Step 3: Cross multiply
    85.87x = 117.01 × 83.89
  4. Step 4: Simplify right side
    85.87x = 9,815.97
  5. Step 5: Solve for x
    x = 9,815.97/85.87
  6. Step 6: Final answer
    x = 114.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.