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Finding the Fourth Proportional to 139.76, 192.74 and 100.43

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Solution

The fourth proportional to 139.76, 192.74 and 100.43 is: 138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.76 : 192.74 = 100.43 : x
  2. Step 2: Convert to fraction form
    139.76/192.74 = 100.43/x
  3. Step 3: Cross multiply
    139.76x = 192.74 × 100.43
  4. Step 4: Simplify right side
    139.76x = 19,355.91
  5. Step 5: Solve for x
    x = 19,355.91/139.76
  6. Step 6: Final answer
    x = 138.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.