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Finding the Fourth Proportional to 140.05, 193.19 and 87.58

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Solution

The fourth proportional to 140.05, 193.19 and 87.58 is: 120.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.05 : 193.19 = 87.58 : x
  2. Step 2: Convert to fraction form
    140.05/193.19 = 87.58/x
  3. Step 3: Cross multiply
    140.05x = 193.19 × 87.58
  4. Step 4: Simplify right side
    140.05x = 16,919.58
  5. Step 5: Solve for x
    x = 16,919.58/140.05
  6. Step 6: Final answer
    x = 120.81

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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.