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Finding the Fourth Proportional to 78.85, 118.31 and 49.99

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Solution

The fourth proportional to 78.85, 118.31 and 49.99 is: 75.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.85 : 118.31 = 49.99 : x
  2. Step 2: Convert to fraction form
    78.85/118.31 = 49.99/x
  3. Step 3: Cross multiply
    78.85x = 118.31 × 49.99
  4. Step 4: Simplify right side
    78.85x = 5,914.32
  5. Step 5: Solve for x
    x = 5,914.32/78.85
  6. Step 6: Final answer
    x = 75.01

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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.