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Finding the Fourth Proportional to 82.37, 124.13 and 73.28

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Solution

The fourth proportional to 82.37, 124.13 and 73.28 is: 110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.37 : 124.13 = 73.28 : x
  2. Step 2: Convert to fraction form
    82.37/124.13 = 73.28/x
  3. Step 3: Cross multiply
    82.37x = 124.13 × 73.28
  4. Step 4: Simplify right side
    82.37x = 9,096.25
  5. Step 5: Solve for x
    x = 9,096.25/82.37
  6. Step 6: Final answer
    x = 110.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.