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Finding the Fourth Proportional to 77.74, 106.63 and 72.07

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Solution

The fourth proportional to 77.74, 106.63 and 72.07 is: 98.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.74 : 106.63 = 72.07 : x
  2. Step 2: Convert to fraction form
    77.74/106.63 = 72.07/x
  3. Step 3: Cross multiply
    77.74x = 106.63 × 72.07
  4. Step 4: Simplify right side
    77.74x = 7,684.82
  5. Step 5: Solve for x
    x = 7,684.82/77.74
  6. Step 6: Final answer
    x = 98.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.