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Finding the Fourth Proportional to 116.89, 161.39 and 77.57

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Solution

The fourth proportional to 116.89, 161.39 and 77.57 is: 107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.89 : 161.39 = 77.57 : x
  2. Step 2: Convert to fraction form
    116.89/161.39 = 77.57/x
  3. Step 3: Cross multiply
    116.89x = 161.39 × 77.57
  4. Step 4: Simplify right side
    116.89x = 12,519.02
  5. Step 5: Solve for x
    x = 12,519.02/116.89
  6. Step 6: Final answer
    x = 107.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.