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Finding the Fourth Proportional to 120.43, 166.15 and 85.47

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Solution

The fourth proportional to 120.43, 166.15 and 85.47 is: 117.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.43 : 166.15 = 85.47 : x
  2. Step 2: Convert to fraction form
    120.43/166.15 = 85.47/x
  3. Step 3: Cross multiply
    120.43x = 166.15 × 85.47
  4. Step 4: Simplify right side
    120.43x = 14,200.84
  5. Step 5: Solve for x
    x = 14,200.84/120.43
  6. Step 6: Final answer
    x = 117.92

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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.