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Finding the Fourth Proportional to 103.09, 142.28 and 59.44

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Solution

The fourth proportional to 103.09, 142.28 and 59.44 is: 82.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.09 : 142.28 = 59.44 : x
  2. Step 2: Convert to fraction form
    103.09/142.28 = 59.44/x
  3. Step 3: Cross multiply
    103.09x = 142.28 × 59.44
  4. Step 4: Simplify right side
    103.09x = 8,457.12
  5. Step 5: Solve for x
    x = 8,457.12/103.09
  6. Step 6: Final answer
    x = 82.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.