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Finding the Fourth Proportional to 117.90, 175.68 and 105.13

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Solution

The fourth proportional to 117.90, 175.68 and 105.13 is: 156.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.90 : 175.68 = 105.13 : x
  2. Step 2: Convert to fraction form
    117.90/175.68 = 105.13/x
  3. Step 3: Cross multiply
    117.90x = 175.68 × 105.13
  4. Step 4: Simplify right side
    117.90x = 18,469.24
  5. Step 5: Solve for x
    x = 18,469.24/117.90
  6. Step 6: Final answer
    x = 156.65

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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.