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Finding the Fourth Proportional to 139.83, 192.99 and 84.57

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Solution

The fourth proportional to 139.83, 192.99 and 84.57 is: 116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.83 : 192.99 = 84.57 : x
  2. Step 2: Convert to fraction form
    139.83/192.99 = 84.57/x
  3. Step 3: Cross multiply
    139.83x = 192.99 × 84.57
  4. Step 4: Simplify right side
    139.83x = 16,321.16
  5. Step 5: Solve for x
    x = 16,321.16/139.83
  6. Step 6: Final answer
    x = 116.72

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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.