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Finding the Fourth Proportional to 78.31, 116.94 and 74.36

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Solution

The fourth proportional to 78.31, 116.94 and 74.36 is: 111.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.31 : 116.94 = 74.36 : x
  2. Step 2: Convert to fraction form
    78.31/116.94 = 74.36/x
  3. Step 3: Cross multiply
    78.31x = 116.94 × 74.36
  4. Step 4: Simplify right side
    78.31x = 8,694.70
  5. Step 5: Solve for x
    x = 8,694.70/78.31
  6. Step 6: Final answer
    x = 111.04

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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.