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Finding the Fourth Proportional to 117.42, 161.68 and 84.61

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Solution

The fourth proportional to 117.42, 161.68 and 84.61 is: 116.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.42 : 161.68 = 84.61 : x
  2. Step 2: Convert to fraction form
    117.42/161.68 = 84.61/x
  3. Step 3: Cross multiply
    117.42x = 161.68 × 84.61
  4. Step 4: Simplify right side
    117.42x = 13,679.74
  5. Step 5: Solve for x
    x = 13,679.74/117.42
  6. Step 6: Final answer
    x = 116.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.