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Finding the Fourth Proportional to 133.42, 184.08 and 78.16

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Solution

The fourth proportional to 133.42, 184.08 and 78.16 is: 107.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.42 : 184.08 = 78.16 : x
  2. Step 2: Convert to fraction form
    133.42/184.08 = 78.16/x
  3. Step 3: Cross multiply
    133.42x = 184.08 × 78.16
  4. Step 4: Simplify right side
    133.42x = 14,387.69
  5. Step 5: Solve for x
    x = 14,387.69/133.42
  6. Step 6: Final answer
    x = 107.84

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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.