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Finding the Fourth Proportional to 132.48, 197.76 and 123.84

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Solution

The fourth proportional to 132.48, 197.76 and 123.84 is: 184.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.48 : 197.76 = 123.84 : x
  2. Step 2: Convert to fraction form
    132.48/197.76 = 123.84/x
  3. Step 3: Cross multiply
    132.48x = 197.76 × 123.84
  4. Step 4: Simplify right side
    132.48x = 24,490.60
  5. Step 5: Solve for x
    x = 24,490.60/132.48
  6. Step 6: Final answer
    x = 184.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.