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Finding the Fourth Proportional to 122.51, 168.99 and 87.51

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Solution

The fourth proportional to 122.51, 168.99 and 87.51 is: 120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.51 : 168.99 = 87.51 : x
  2. Step 2: Convert to fraction form
    122.51/168.99 = 87.51/x
  3. Step 3: Cross multiply
    122.51x = 168.99 × 87.51
  4. Step 4: Simplify right side
    122.51x = 14,788.62
  5. Step 5: Solve for x
    x = 14,788.62/122.51
  6. Step 6: Final answer
    x = 120.71

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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.