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Finding the Fourth Proportional to 77.61, 116.29 and 72.54

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Solution

The fourth proportional to 77.61, 116.29 and 72.54 is: 108.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.61 : 116.29 = 72.54 : x
  2. Step 2: Convert to fraction form
    77.61/116.29 = 72.54/x
  3. Step 3: Cross multiply
    77.61x = 116.29 × 72.54
  4. Step 4: Simplify right side
    77.61x = 8,435.68
  5. Step 5: Solve for x
    x = 8,435.68/77.61
  6. Step 6: Final answer
    x = 108.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.