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Finding the Fourth Proportional to 105.59, 145.59 and 92.44

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Solution

The fourth proportional to 105.59, 145.59 and 92.44 is: 127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.59 : 145.59 = 92.44 : x
  2. Step 2: Convert to fraction form
    105.59/145.59 = 92.44/x
  3. Step 3: Cross multiply
    105.59x = 145.59 × 92.44
  4. Step 4: Simplify right side
    105.59x = 13,458.34
  5. Step 5: Solve for x
    x = 13,458.34/105.59
  6. Step 6: Final answer
    x = 127.46

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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.