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Finding the Fourth Proportional to 117.73, 176.64 and 77.41

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Solution

The fourth proportional to 117.73, 176.64 and 77.41 is: 116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.73 : 176.64 = 77.41 : x
  2. Step 2: Convert to fraction form
    117.73/176.64 = 77.41/x
  3. Step 3: Cross multiply
    117.73x = 176.64 × 77.41
  4. Step 4: Simplify right side
    117.73x = 13,673.70
  5. Step 5: Solve for x
    x = 13,673.70/117.73
  6. Step 6: Final answer
    x = 116.14

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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.