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Finding the Fourth Proportional to 103.66, 142.72 and 89.82

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Solution

The fourth proportional to 103.66, 142.72 and 89.82 is: 123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.66 : 142.72 = 89.82 : x
  2. Step 2: Convert to fraction form
    103.66/142.72 = 89.82/x
  3. Step 3: Cross multiply
    103.66x = 142.72 × 89.82
  4. Step 4: Simplify right side
    103.66x = 12,819.11
  5. Step 5: Solve for x
    x = 12,819.11/103.66
  6. Step 6: Final answer
    x = 123.66

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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.