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Finding the Fourth Proportional to 137.65, 189.87 and 106.57

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Solution

The fourth proportional to 137.65, 189.87 and 106.57 is: 147.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.65 : 189.87 = 106.57 : x
  2. Step 2: Convert to fraction form
    137.65/189.87 = 106.57/x
  3. Step 3: Cross multiply
    137.65x = 189.87 × 106.57
  4. Step 4: Simplify right side
    137.65x = 20,234.45
  5. Step 5: Solve for x
    x = 20,234.45/137.65
  6. Step 6: Final answer
    x = 147.00

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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.