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Finding the Fourth Proportional to 117.48, 175.23 and 107.09

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Solution

The fourth proportional to 117.48, 175.23 and 107.09 is: 159.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.48 : 175.23 = 107.09 : x
  2. Step 2: Convert to fraction form
    117.48/175.23 = 107.09/x
  3. Step 3: Cross multiply
    117.48x = 175.23 × 107.09
  4. Step 4: Simplify right side
    117.48x = 18,765.16
  5. Step 5: Solve for x
    x = 18,765.16/117.48
  6. Step 6: Final answer
    x = 159.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.