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Finding the Fourth Proportional to 78.75, 108.69 and 44.25

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Solution

The fourth proportional to 78.75, 108.69 and 44.25 is: 61.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.75 : 108.69 = 44.25 : x
  2. Step 2: Convert to fraction form
    78.75/108.69 = 44.25/x
  3. Step 3: Cross multiply
    78.75x = 108.69 × 44.25
  4. Step 4: Simplify right side
    78.75x = 4,809.53
  5. Step 5: Solve for x
    x = 4,809.53/78.75
  6. Step 6: Final answer
    x = 61.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.