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Finding the Fourth Proportional to 78.54, 108.39 and 45.80

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Solution

The fourth proportional to 78.54, 108.39 and 45.80 is: 63.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.54 : 108.39 = 45.80 : x
  2. Step 2: Convert to fraction form
    78.54/108.39 = 45.80/x
  3. Step 3: Cross multiply
    78.54x = 108.39 × 45.80
  4. Step 4: Simplify right side
    78.54x = 4,964.26
  5. Step 5: Solve for x
    x = 4,964.26/78.54
  6. Step 6: Final answer
    x = 63.21

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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.