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Finding the Fourth Proportional to 135.84, 203.76 and 74.88

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Solution

The fourth proportional to 135.84, 203.76 and 74.88 is: 112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.84 : 203.76 = 74.88 : x
  2. Step 2: Convert to fraction form
    135.84/203.76 = 74.88/x
  3. Step 3: Cross multiply
    135.84x = 203.76 × 74.88
  4. Step 4: Simplify right side
    135.84x = 15,257.55
  5. Step 5: Solve for x
    x = 15,257.55/135.84
  6. Step 6: Final answer
    x = 112.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.