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Finding the Fourth Proportional to 131.65, 198.47 and 123.82

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Solution

The fourth proportional to 131.65, 198.47 and 123.82 is: 186.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.65 : 198.47 = 123.82 : x
  2. Step 2: Convert to fraction form
    131.65/198.47 = 123.82/x
  3. Step 3: Cross multiply
    131.65x = 198.47 × 123.82
  4. Step 4: Simplify right side
    131.65x = 24,574.37
  5. Step 5: Solve for x
    x = 24,574.37/131.65
  6. Step 6: Final answer
    x = 186.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.