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Finding the Fourth Proportional to 103.76, 142.58 and 86.48

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Solution

The fourth proportional to 103.76, 142.58 and 86.48 is: 118.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.76 : 142.58 = 86.48 : x
  2. Step 2: Convert to fraction form
    103.76/142.58 = 86.48/x
  3. Step 3: Cross multiply
    103.76x = 142.58 × 86.48
  4. Step 4: Simplify right side
    103.76x = 12,330.32
  5. Step 5: Solve for x
    x = 12,330.32/103.76
  6. Step 6: Final answer
    x = 118.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.