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Finding the Fourth Proportional to 77.14, 115.15 and 71.51

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Solution

The fourth proportional to 77.14, 115.15 and 71.51 is: 106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.14 : 115.15 = 71.51 : x
  2. Step 2: Convert to fraction form
    77.14/115.15 = 71.51/x
  3. Step 3: Cross multiply
    77.14x = 115.15 × 71.51
  4. Step 4: Simplify right side
    77.14x = 8,233.88
  5. Step 5: Solve for x
    x = 8,233.88/77.14
  6. Step 6: Final answer
    x = 106.74

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