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Finding the Fourth Proportional to 78.81, 118.10 and 50.25

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Solution

The fourth proportional to 78.81, 118.10 and 50.25 is: 75.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.81 : 118.10 = 50.25 : x
  2. Step 2: Convert to fraction form
    78.81/118.10 = 50.25/x
  3. Step 3: Cross multiply
    78.81x = 118.10 × 50.25
  4. Step 4: Simplify right side
    78.81x = 5,934.27
  5. Step 5: Solve for x
    x = 5,934.27/78.81
  6. Step 6: Final answer
    x = 75.30

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