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Finding the Fourth Proportional to 116.14, 159.91 and 88.42

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Solution

The fourth proportional to 116.14, 159.91 and 88.42 is: 121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.14 : 159.91 = 88.42 : x
  2. Step 2: Convert to fraction form
    116.14/159.91 = 88.42/x
  3. Step 3: Cross multiply
    116.14x = 159.91 × 88.42
  4. Step 4: Simplify right side
    116.14x = 14,139.75
  5. Step 5: Solve for x
    x = 14,139.75/116.14
  6. Step 6: Final answer
    x = 121.74

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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.