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Finding the Fourth Proportional to 161.49, 223.04 and 106.47

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Solution

The fourth proportional to 161.49, 223.04 and 106.47 is: 147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.49 : 223.04 = 106.47 : x
  2. Step 2: Convert to fraction form
    161.49/223.04 = 106.47/x
  3. Step 3: Cross multiply
    161.49x = 223.04 × 106.47
  4. Step 4: Simplify right side
    161.49x = 23,747.07
  5. Step 5: Solve for x
    x = 23,747.07/161.49
  6. Step 6: Final answer
    x = 147.05

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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.