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Finding the Fourth Proportional to 137.63, 189.85 and 88.53

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Solution

The fourth proportional to 137.63, 189.85 and 88.53 is: 122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.63 : 189.85 = 88.53 : x
  2. Step 2: Convert to fraction form
    137.63/189.85 = 88.53/x
  3. Step 3: Cross multiply
    137.63x = 189.85 × 88.53
  4. Step 4: Simplify right side
    137.63x = 16,806.98
  5. Step 5: Solve for x
    x = 16,806.98/137.63
  6. Step 6: Final answer
    x = 122.12

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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.