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Finding the Fourth Proportional to 77.64, 116.96 and 71.90

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Solution

The fourth proportional to 77.64, 116.96 and 71.90 is: 108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.64 : 116.96 = 71.90 : x
  2. Step 2: Convert to fraction form
    77.64/116.96 = 71.90/x
  3. Step 3: Cross multiply
    77.64x = 116.96 × 71.90
  4. Step 4: Simplify right side
    77.64x = 8,409.42
  5. Step 5: Solve for x
    x = 8,409.42/77.64
  6. Step 6: Final answer
    x = 108.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.