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Finding the Fourth Proportional to 105.47, 144.87 and 102.39

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Solution

The fourth proportional to 105.47, 144.87 and 102.39 is: 140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.47 : 144.87 = 102.39 : x
  2. Step 2: Convert to fraction form
    105.47/144.87 = 102.39/x
  3. Step 3: Cross multiply
    105.47x = 144.87 × 102.39
  4. Step 4: Simplify right side
    105.47x = 14,833.24
  5. Step 5: Solve for x
    x = 14,833.24/105.47
  6. Step 6: Final answer
    x = 140.65

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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.