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Finding the Fourth Proportional to 116.61, 160.88 and 81.70

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Solution

The fourth proportional to 116.61, 160.88 and 81.70 is: 112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.61 : 160.88 = 81.70 : x
  2. Step 2: Convert to fraction form
    116.61/160.88 = 81.70/x
  3. Step 3: Cross multiply
    116.61x = 160.88 × 81.70
  4. Step 4: Simplify right side
    116.61x = 13,143.90
  5. Step 5: Solve for x
    x = 13,143.90/116.61
  6. Step 6: Final answer
    x = 112.72

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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.