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Finding the Fourth Proportional to 103.75, 143.08 and 79.14

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Solution

The fourth proportional to 103.75, 143.08 and 79.14 is: 109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.75 : 143.08 = 79.14 : x
  2. Step 2: Convert to fraction form
    103.75/143.08 = 79.14/x
  3. Step 3: Cross multiply
    103.75x = 143.08 × 79.14
  4. Step 4: Simplify right side
    103.75x = 11,323.35
  5. Step 5: Solve for x
    x = 11,323.35/103.75
  6. Step 6: Final answer
    x = 109.14

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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.