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Finding the Fourth Proportional to 117.41, 176.02 and 71.78

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Solution

The fourth proportional to 117.41, 176.02 and 71.78 is: 107.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.41 : 176.02 = 71.78 : x
  2. Step 2: Convert to fraction form
    117.41/176.02 = 71.78/x
  3. Step 3: Cross multiply
    117.41x = 176.02 × 71.78
  4. Step 4: Simplify right side
    117.41x = 12,634.72
  5. Step 5: Solve for x
    x = 12,634.72/117.41
  6. Step 6: Final answer
    x = 107.61

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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.