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Finding the Fourth Proportional to 77.10, 114.95 and 75.73

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Solution

The fourth proportional to 77.10, 114.95 and 75.73 is: 112.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.10 : 114.95 = 75.73 : x
  2. Step 2: Convert to fraction form
    77.10/114.95 = 75.73/x
  3. Step 3: Cross multiply
    77.10x = 114.95 × 75.73
  4. Step 4: Simplify right side
    77.10x = 8,705.28
  5. Step 5: Solve for x
    x = 8,705.28/77.10
  6. Step 6: Final answer
    x = 112.91

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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.