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Finding the Fourth Proportional to 78.73, 108.57 and 52.45

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Solution

The fourth proportional to 78.73, 108.57 and 52.45 is: 72.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.73 : 108.57 = 52.45 : x
  2. Step 2: Convert to fraction form
    78.73/108.57 = 52.45/x
  3. Step 3: Cross multiply
    78.73x = 108.57 × 52.45
  4. Step 4: Simplify right side
    78.73x = 5,694.50
  5. Step 5: Solve for x
    x = 5,694.50/78.73
  6. Step 6: Final answer
    x = 72.33

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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.