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Finding the Fourth Proportional to 93.78, 129.38 and 54.42

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Solution

The fourth proportional to 93.78, 129.38 and 54.42 is: 75.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.78 : 129.38 = 54.42 : x
  2. Step 2: Convert to fraction form
    93.78/129.38 = 54.42/x
  3. Step 3: Cross multiply
    93.78x = 129.38 × 54.42
  4. Step 4: Simplify right side
    93.78x = 7,040.59
  5. Step 5: Solve for x
    x = 7,040.59/93.78
  6. Step 6: Final answer
    x = 75.08

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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.