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Finding the Fourth Proportional to 93.48, 129 and 78.96

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Solution

The fourth proportional to 93.48, 129 and 78.96 is: 108.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.48 : 129 = 78.96 : x
  2. Step 2: Convert to fraction form
    93.48/129 = 78.96/x
  3. Step 3: Cross multiply
    93.48x = 129 × 78.96
  4. Step 4: Simplify right side
    93.48x = 10,185.84
  5. Step 5: Solve for x
    x = 10,185.84/93.48
  6. Step 6: Final answer
    x = 108.96

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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.