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Finding the Fourth Proportional to 103.57, 142.86 and 74.48

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Solution

The fourth proportional to 103.57, 142.86 and 74.48 is: 102.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.57 : 142.86 = 74.48 : x
  2. Step 2: Convert to fraction form
    103.57/142.86 = 74.48/x
  3. Step 3: Cross multiply
    103.57x = 142.86 × 74.48
  4. Step 4: Simplify right side
    103.57x = 10,639.50
  5. Step 5: Solve for x
    x = 10,639.50/103.57
  6. Step 6: Final answer
    x = 102.73

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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.