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Finding the Fourth Proportional to 77.61, 117.24 and 76.83

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Solution

The fourth proportional to 77.61, 117.24 and 76.83 is: 116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.61 : 117.24 = 76.83 : x
  2. Step 2: Convert to fraction form
    77.61/117.24 = 76.83/x
  3. Step 3: Cross multiply
    77.61x = 117.24 × 76.83
  4. Step 4: Simplify right side
    77.61x = 9,007.55
  5. Step 5: Solve for x
    x = 9,007.55/77.61
  6. Step 6: Final answer
    x = 116.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.