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Finding the Fourth Proportional to 117.09, 175.53 and 78.42

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Solution

The fourth proportional to 117.09, 175.53 and 78.42 is: 117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.09 : 175.53 = 78.42 : x
  2. Step 2: Convert to fraction form
    117.09/175.53 = 78.42/x
  3. Step 3: Cross multiply
    117.09x = 175.53 × 78.42
  4. Step 4: Simplify right side
    117.09x = 13,765.06
  5. Step 5: Solve for x
    x = 13,765.06/117.09
  6. Step 6: Final answer
    x = 117.56

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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.