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Finding the Fourth Proportional to 78.09, 117.01 and 57.75

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Solution

The fourth proportional to 78.09, 117.01 and 57.75 is: 86.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.09 : 117.01 = 57.75 : x
  2. Step 2: Convert to fraction form
    78.09/117.01 = 57.75/x
  3. Step 3: Cross multiply
    78.09x = 117.01 × 57.75
  4. Step 4: Simplify right side
    78.09x = 6,757.33
  5. Step 5: Solve for x
    x = 6,757.33/78.09
  6. Step 6: Final answer
    x = 86.53

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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.