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Finding the Fourth Proportional to 117.08, 176.01 and 94.54

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Solution

The fourth proportional to 117.08, 176.01 and 94.54 is: 142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.08 : 176.01 = 94.54 : x
  2. Step 2: Convert to fraction form
    117.08/176.01 = 94.54/x
  3. Step 3: Cross multiply
    117.08x = 176.01 × 94.54
  4. Step 4: Simplify right side
    117.08x = 16,639.99
  5. Step 5: Solve for x
    x = 16,639.99/117.08
  6. Step 6: Final answer
    x = 142.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.