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Finding the Fourth Proportional to 93.96, 129.06 and 85.77

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Solution

The fourth proportional to 93.96, 129.06 and 85.77 is: 117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.96 : 129.06 = 85.77 : x
  2. Step 2: Convert to fraction form
    93.96/129.06 = 85.77/x
  3. Step 3: Cross multiply
    93.96x = 129.06 × 85.77
  4. Step 4: Simplify right side
    93.96x = 11,069.48
  5. Step 5: Solve for x
    x = 11,069.48/93.96
  6. Step 6: Final answer
    x = 117.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.