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Finding the Fourth Proportional to 77.35, 106.78 and 56.59

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Solution

The fourth proportional to 77.35, 106.78 and 56.59 is: 78.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.35 : 106.78 = 56.59 : x
  2. Step 2: Convert to fraction form
    77.35/106.78 = 56.59/x
  3. Step 3: Cross multiply
    77.35x = 106.78 × 56.59
  4. Step 4: Simplify right side
    77.35x = 6,042.15
  5. Step 5: Solve for x
    x = 6,042.15/77.35
  6. Step 6: Final answer
    x = 78.12

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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.