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Finding the Fourth Proportional to 117.09, 161.60 and 85.59

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Solution

The fourth proportional to 117.09, 161.60 and 85.59 is: 118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.09 : 161.60 = 85.59 : x
  2. Step 2: Convert to fraction form
    117.09/161.60 = 85.59/x
  3. Step 3: Cross multiply
    117.09x = 161.60 × 85.59
  4. Step 4: Simplify right side
    117.09x = 13,830.92
  5. Step 5: Solve for x
    x = 13,830.92/117.09
  6. Step 6: Final answer
    x = 118.12

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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.