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Finding the Fourth Proportional to 93.51, 128.72 and 77.94

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Solution

The fourth proportional to 93.51, 128.72 and 77.94 is: 107.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.51 : 128.72 = 77.94 : x
  2. Step 2: Convert to fraction form
    93.51/128.72 = 77.94/x
  3. Step 3: Cross multiply
    93.51x = 128.72 × 77.94
  4. Step 4: Simplify right side
    93.51x = 10,032.44
  5. Step 5: Solve for x
    x = 10,032.44/93.51
  6. Step 6: Final answer
    x = 107.29

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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.