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Finding the Fourth Proportional to 93.72, 129.34 and 78.15

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Solution

The fourth proportional to 93.72, 129.34 and 78.15 is: 107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.72 : 129.34 = 78.15 : x
  2. Step 2: Convert to fraction form
    93.72/129.34 = 78.15/x
  3. Step 3: Cross multiply
    93.72x = 129.34 × 78.15
  4. Step 4: Simplify right side
    93.72x = 10,107.73
  5. Step 5: Solve for x
    x = 10,107.73/93.72
  6. Step 6: Final answer
    x = 107.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.