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Finding the Fourth Proportional to 117.81, 176.25 and 81.66

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Solution

The fourth proportional to 117.81, 176.25 and 81.66 is: 122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.81 : 176.25 = 81.66 : x
  2. Step 2: Convert to fraction form
    117.81/176.25 = 81.66/x
  3. Step 3: Cross multiply
    117.81x = 176.25 × 81.66
  4. Step 4: Simplify right side
    117.81x = 14,392.58
  5. Step 5: Solve for x
    x = 14,392.58/117.81
  6. Step 6: Final answer
    x = 122.17

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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.