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Finding the Fourth Proportional to 133.72, 184.50 and 78.43

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Solution

The fourth proportional to 133.72, 184.50 and 78.43 is: 108.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.72 : 184.50 = 78.43 : x
  2. Step 2: Convert to fraction form
    133.72/184.50 = 78.43/x
  3. Step 3: Cross multiply
    133.72x = 184.50 × 78.43
  4. Step 4: Simplify right side
    133.72x = 14,470.34
  5. Step 5: Solve for x
    x = 14,470.34/133.72
  6. Step 6: Final answer
    x = 108.21

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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.