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Finding the Fourth Proportional to 78.08, 107.75 and 44.89

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Solution

The fourth proportional to 78.08, 107.75 and 44.89 is: 61.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.08 : 107.75 = 44.89 : x
  2. Step 2: Convert to fraction form
    78.08/107.75 = 44.89/x
  3. Step 3: Cross multiply
    78.08x = 107.75 × 44.89
  4. Step 4: Simplify right side
    78.08x = 4,836.74
  5. Step 5: Solve for x
    x = 4,836.74/78.08
  6. Step 6: Final answer
    x = 61.95

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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.