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Finding the Fourth Proportional to 77.04, 106.34 and 50.82

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Solution

The fourth proportional to 77.04, 106.34 and 50.82 is: 70.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.04 : 106.34 = 50.82 : x
  2. Step 2: Convert to fraction form
    77.04/106.34 = 50.82/x
  3. Step 3: Cross multiply
    77.04x = 106.34 × 50.82
  4. Step 4: Simplify right side
    77.04x = 5,404.33
  5. Step 5: Solve for x
    x = 5,404.33/77.04
  6. Step 6: Final answer
    x = 70.15

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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.