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Finding the Fourth Proportional to 85.57, 127.63 and 83

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Solution

The fourth proportional to 85.57, 127.63 and 83 is: 123.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.57 : 127.63 = 83 : x
  2. Step 2: Convert to fraction form
    85.57/127.63 = 83/x
  3. Step 3: Cross multiply
    85.57x = 127.63 × 83
  4. Step 4: Simplify right side
    85.57x = 10,593.29
  5. Step 5: Solve for x
    x = 10,593.29/85.57
  6. Step 6: Final answer
    x = 123.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.