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Finding the Fourth Proportional to 117.26, 175.66 and 78.62

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Solution

The fourth proportional to 117.26, 175.66 and 78.62 is: 117.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.26 : 175.66 = 78.62 : x
  2. Step 2: Convert to fraction form
    117.26/175.66 = 78.62/x
  3. Step 3: Cross multiply
    117.26x = 175.66 × 78.62
  4. Step 4: Simplify right side
    117.26x = 13,810.39
  5. Step 5: Solve for x
    x = 13,810.39/117.26
  6. Step 6: Final answer
    x = 117.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.