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Finding the Fourth Proportional to 139.02, 191.82 and 83.76

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Solution

The fourth proportional to 139.02, 191.82 and 83.76 is: 115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.02 : 191.82 = 83.76 : x
  2. Step 2: Convert to fraction form
    139.02/191.82 = 83.76/x
  3. Step 3: Cross multiply
    139.02x = 191.82 × 83.76
  4. Step 4: Simplify right side
    139.02x = 16,066.44
  5. Step 5: Solve for x
    x = 16,066.44/139.02
  6. Step 6: Final answer
    x = 115.57

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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.