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Finding the Fourth Proportional to 77.58, 106.63 and 62.81

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Solution

The fourth proportional to 77.58, 106.63 and 62.81 is: 86.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.58 : 106.63 = 62.81 : x
  2. Step 2: Convert to fraction form
    77.58/106.63 = 62.81/x
  3. Step 3: Cross multiply
    77.58x = 106.63 × 62.81
  4. Step 4: Simplify right side
    77.58x = 6,696.93
  5. Step 5: Solve for x
    x = 6,696.93/77.58
  6. Step 6: Final answer
    x = 86.32

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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.