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Finding the Fourth Proportional to 105.57, 145.76 and 81.14

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Solution

The fourth proportional to 105.57, 145.76 and 81.14 is: 112.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.57 : 145.76 = 81.14 : x
  2. Step 2: Convert to fraction form
    105.57/145.76 = 81.14/x
  3. Step 3: Cross multiply
    105.57x = 145.76 × 81.14
  4. Step 4: Simplify right side
    105.57x = 11,825.83
  5. Step 5: Solve for x
    x = 11,825.83/105.57
  6. Step 6: Final answer
    x = 112.02

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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.