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Finding the Fourth Proportional to 78.06, 116.43 and 69.96

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Solution

The fourth proportional to 78.06, 116.43 and 69.96 is: 104.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.06 : 116.43 = 69.96 : x
  2. Step 2: Convert to fraction form
    78.06/116.43 = 69.96/x
  3. Step 3: Cross multiply
    78.06x = 116.43 × 69.96
  4. Step 4: Simplify right side
    78.06x = 8,145.44
  5. Step 5: Solve for x
    x = 8,145.44/78.06
  6. Step 6: Final answer
    x = 104.35

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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.