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Finding the Fourth Proportional to 77.68, 117.07 and 61.75

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Solution

The fourth proportional to 77.68, 117.07 and 61.75 is: 93.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.68 : 117.07 = 61.75 : x
  2. Step 2: Convert to fraction form
    77.68/117.07 = 61.75/x
  3. Step 3: Cross multiply
    77.68x = 117.07 × 61.75
  4. Step 4: Simplify right side
    77.68x = 7,229.07
  5. Step 5: Solve for x
    x = 7,229.07/77.68
  6. Step 6: Final answer
    x = 93.06

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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.