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Finding the Fourth Proportional to 137.64, 189.77 and 88.43

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Solution

The fourth proportional to 137.64, 189.77 and 88.43 is: 121.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.64 : 189.77 = 88.43 : x
  2. Step 2: Convert to fraction form
    137.64/189.77 = 88.43/x
  3. Step 3: Cross multiply
    137.64x = 189.77 × 88.43
  4. Step 4: Simplify right side
    137.64x = 16,781.36
  5. Step 5: Solve for x
    x = 16,781.36/137.64
  6. Step 6: Final answer
    x = 121.92

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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.