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Finding the Fourth Proportional to 77.49, 106.83 and 56.76

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Solution

The fourth proportional to 77.49, 106.83 and 56.76 is: 78.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.49 : 106.83 = 56.76 : x
  2. Step 2: Convert to fraction form
    77.49/106.83 = 56.76/x
  3. Step 3: Cross multiply
    77.49x = 106.83 × 56.76
  4. Step 4: Simplify right side
    77.49x = 6,063.67
  5. Step 5: Solve for x
    x = 6,063.67/77.49
  6. Step 6: Final answer
    x = 78.25

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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.