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Finding the Fourth Proportional to 131.70, 198.30 and 123.60

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Solution

The fourth proportional to 131.70, 198.30 and 123.60 is: 186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.70 : 198.30 = 123.60 : x
  2. Step 2: Convert to fraction form
    131.70/198.30 = 123.60/x
  3. Step 3: Cross multiply
    131.70x = 198.30 × 123.60
  4. Step 4: Simplify right side
    131.70x = 24,509.88
  5. Step 5: Solve for x
    x = 24,509.88/131.70
  6. Step 6: Final answer
    x = 186.10

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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.