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Finding the Fourth Proportional to 147.69, 203.84 and 105.74

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Solution

The fourth proportional to 147.69, 203.84 and 105.74 is: 145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.69 : 203.84 = 105.74 : x
  2. Step 2: Convert to fraction form
    147.69/203.84 = 105.74/x
  3. Step 3: Cross multiply
    147.69x = 203.84 × 105.74
  4. Step 4: Simplify right side
    147.69x = 21,553.95
  5. Step 5: Solve for x
    x = 21,553.95/147.69
  6. Step 6: Final answer
    x = 145.94

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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.