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Finding the Fourth Proportional to 117.88, 175.72 and 113.88

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Solution

The fourth proportional to 117.88, 175.72 and 113.88 is: 169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.88 : 175.72 = 113.88 : x
  2. Step 2: Convert to fraction form
    117.88/175.72 = 113.88/x
  3. Step 3: Cross multiply
    117.88x = 175.72 × 113.88
  4. Step 4: Simplify right side
    117.88x = 20,010.99
  5. Step 5: Solve for x
    x = 20,010.99/117.88
  6. Step 6: Final answer
    x = 169.76

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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.