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Finding the Fourth Proportional to 77.62, 106.96 and 56.82

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Solution

The fourth proportional to 77.62, 106.96 and 56.82 is: 78.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.62 : 106.96 = 56.82 : x
  2. Step 2: Convert to fraction form
    77.62/106.96 = 56.82/x
  3. Step 3: Cross multiply
    77.62x = 106.96 × 56.82
  4. Step 4: Simplify right side
    77.62x = 6,077.47
  5. Step 5: Solve for x
    x = 6,077.47/77.62
  6. Step 6: Final answer
    x = 78.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.