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Finding the Fourth Proportional to 78.23, 116.41 and 77.42

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Solution

The fourth proportional to 78.23, 116.41 and 77.42 is: 115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.23 : 116.41 = 77.42 : x
  2. Step 2: Convert to fraction form
    78.23/116.41 = 77.42/x
  3. Step 3: Cross multiply
    78.23x = 116.41 × 77.42
  4. Step 4: Simplify right side
    78.23x = 9,011.98
  5. Step 5: Solve for x
    x = 9,011.98/78.23
  6. Step 6: Final answer
    x = 115.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.