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Finding the Fourth Proportional to 139.29, 192.24 and 89.43

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Solution

The fourth proportional to 139.29, 192.24 and 89.43 is: 123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.29 : 192.24 = 89.43 : x
  2. Step 2: Convert to fraction form
    139.29/192.24 = 89.43/x
  3. Step 3: Cross multiply
    139.29x = 192.24 × 89.43
  4. Step 4: Simplify right side
    139.29x = 17,192.02
  5. Step 5: Solve for x
    x = 17,192.02/139.29
  6. Step 6: Final answer
    x = 123.43

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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.