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Finding the Fourth Proportional to 139.52, 192.50 and 84.23

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Solution

The fourth proportional to 139.52, 192.50 and 84.23 is: 116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.52 : 192.50 = 84.23 : x
  2. Step 2: Convert to fraction form
    139.52/192.50 = 84.23/x
  3. Step 3: Cross multiply
    139.52x = 192.50 × 84.23
  4. Step 4: Simplify right side
    139.52x = 16,214.34
  5. Step 5: Solve for x
    x = 16,214.34/139.52
  6. Step 6: Final answer
    x = 116.22

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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.