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Finding the Fourth Proportional to 78.62, 108.42 and 50.97

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Solution

The fourth proportional to 78.62, 108.42 and 50.97 is: 70.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.62 : 108.42 = 50.97 : x
  2. Step 2: Convert to fraction form
    78.62/108.42 = 50.97/x
  3. Step 3: Cross multiply
    78.62x = 108.42 × 50.97
  4. Step 4: Simplify right side
    78.62x = 5,526.17
  5. Step 5: Solve for x
    x = 5,526.17/78.62
  6. Step 6: Final answer
    x = 70.29

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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.