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Finding the Fourth Proportional to 135.71, 203.50 and 70.75

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Solution

The fourth proportional to 135.71, 203.50 and 70.75 is: 106.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.71 : 203.50 = 70.75 : x
  2. Step 2: Convert to fraction form
    135.71/203.50 = 70.75/x
  3. Step 3: Cross multiply
    135.71x = 203.50 × 70.75
  4. Step 4: Simplify right side
    135.71x = 14,396.94
  5. Step 5: Solve for x
    x = 14,396.94/135.71
  6. Step 6: Final answer
    x = 106.09

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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.