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Finding the Fourth Proportional to 117.57, 161.36 and 107.85

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Solution

The fourth proportional to 117.57, 161.36 and 107.85 is: 148.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.57 : 161.36 = 107.85 : x
  2. Step 2: Convert to fraction form
    117.57/161.36 = 107.85/x
  3. Step 3: Cross multiply
    117.57x = 161.36 × 107.85
  4. Step 4: Simplify right side
    117.57x = 17,402.95
  5. Step 5: Solve for x
    x = 17,402.95/117.57
  6. Step 6: Final answer
    x = 148.02

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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.