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Finding the Fourth Proportional to 135.12, 203.64 and 122.04

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Solution

The fourth proportional to 135.12, 203.64 and 122.04 is: 183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.12 : 203.64 = 122.04 : x
  2. Step 2: Convert to fraction form
    135.12/203.64 = 122.04/x
  3. Step 3: Cross multiply
    135.12x = 203.64 × 122.04
  4. Step 4: Simplify right side
    135.12x = 24,852.23
  5. Step 5: Solve for x
    x = 24,852.23/135.12
  6. Step 6: Final answer
    x = 183.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.