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Finding the Fourth Proportional to 116.97, 161.43 and 75.57

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Solution

The fourth proportional to 116.97, 161.43 and 75.57 is: 104.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.97 : 161.43 = 75.57 : x
  2. Step 2: Convert to fraction form
    116.97/161.43 = 75.57/x
  3. Step 3: Cross multiply
    116.97x = 161.43 × 75.57
  4. Step 4: Simplify right side
    116.97x = 12,199.27
  5. Step 5: Solve for x
    x = 12,199.27/116.97
  6. Step 6: Final answer
    x = 104.30

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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.