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Finding the Fourth Proportional to 85.38, 127.04 and 83.50

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Solution

The fourth proportional to 85.38, 127.04 and 83.50 is: 124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.38 : 127.04 = 83.50 : x
  2. Step 2: Convert to fraction form
    85.38/127.04 = 83.50/x
  3. Step 3: Cross multiply
    85.38x = 127.04 × 83.50
  4. Step 4: Simplify right side
    85.38x = 10,607.84
  5. Step 5: Solve for x
    x = 10,607.84/85.38
  6. Step 6: Final answer
    x = 124.24

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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.