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Finding the Fourth Proportional to 77.66, 117.08 and 75.50

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Solution

The fourth proportional to 77.66, 117.08 and 75.50 is: 113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.66 : 117.08 = 75.50 : x
  2. Step 2: Convert to fraction form
    77.66/117.08 = 75.50/x
  3. Step 3: Cross multiply
    77.66x = 117.08 × 75.50
  4. Step 4: Simplify right side
    77.66x = 8,839.54
  5. Step 5: Solve for x
    x = 8,839.54/77.66
  6. Step 6: Final answer
    x = 113.82

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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.