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Finding the Fourth Proportional to 78.01, 116.96 and 70.42

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Solution

The fourth proportional to 78.01, 116.96 and 70.42 is: 105.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.01 : 116.96 = 70.42 : x
  2. Step 2: Convert to fraction form
    78.01/116.96 = 70.42/x
  3. Step 3: Cross multiply
    78.01x = 116.96 × 70.42
  4. Step 4: Simplify right side
    78.01x = 8,236.32
  5. Step 5: Solve for x
    x = 8,236.32/78.01
  6. Step 6: Final answer
    x = 105.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.