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Finding the Fourth Proportional to 116.59, 175.61 and 89.72

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Solution

The fourth proportional to 116.59, 175.61 and 89.72 is: 135.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.59 : 175.61 = 89.72 : x
  2. Step 2: Convert to fraction form
    116.59/175.61 = 89.72/x
  3. Step 3: Cross multiply
    116.59x = 175.61 × 89.72
  4. Step 4: Simplify right side
    116.59x = 15,755.73
  5. Step 5: Solve for x
    x = 15,755.73/116.59
  6. Step 6: Final answer
    x = 135.14

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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.