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Finding the Fourth Proportional to 85.83, 117.62 and 83.00

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Solution

The fourth proportional to 85.83, 117.62 and 83.00 is: 113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.83 : 117.62 = 83.00 : x
  2. Step 2: Convert to fraction form
    85.83/117.62 = 83.00/x
  3. Step 3: Cross multiply
    85.83x = 117.62 × 83.00
  4. Step 4: Simplify right side
    85.83x = 9,761.46
  5. Step 5: Solve for x
    x = 9,761.46/85.83
  6. Step 6: Final answer
    x = 113.73

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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.