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Finding the Fourth Proportional to 117.95, 161.27 and 114.71

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Solution

The fourth proportional to 117.95, 161.27 and 114.71 is: 156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.95 : 161.27 = 114.71 : x
  2. Step 2: Convert to fraction form
    117.95/161.27 = 114.71/x
  3. Step 3: Cross multiply
    117.95x = 161.27 × 114.71
  4. Step 4: Simplify right side
    117.95x = 18,498.71
  5. Step 5: Solve for x
    x = 18,498.71/117.95
  6. Step 6: Final answer
    x = 156.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.