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Finding the Fourth Proportional to 77.35, 106.67 and 51.07

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Solution

The fourth proportional to 77.35, 106.67 and 51.07 is: 70.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.35 : 106.67 = 51.07 : x
  2. Step 2: Convert to fraction form
    77.35/106.67 = 51.07/x
  3. Step 3: Cross multiply
    77.35x = 106.67 × 51.07
  4. Step 4: Simplify right side
    77.35x = 5,447.64
  5. Step 5: Solve for x
    x = 5,447.64/77.35
  6. Step 6: Final answer
    x = 70.43

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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.