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Finding the Fourth Proportional to 161.95, 223.52 and 92.01

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Solution

The fourth proportional to 161.95, 223.52 and 92.01 is: 126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.95 : 223.52 = 92.01 : x
  2. Step 2: Convert to fraction form
    161.95/223.52 = 92.01/x
  3. Step 3: Cross multiply
    161.95x = 223.52 × 92.01
  4. Step 4: Simplify right side
    161.95x = 20,566.08
  5. Step 5: Solve for x
    x = 20,566.08/161.95
  6. Step 6: Final answer
    x = 126.99

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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.