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Finding the Fourth Proportional to 115.62, 159.33 and 81.06

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Solution

The fourth proportional to 115.62, 159.33 and 81.06 is: 111.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.62 : 159.33 = 81.06 : x
  2. Step 2: Convert to fraction form
    115.62/159.33 = 81.06/x
  3. Step 3: Cross multiply
    115.62x = 159.33 × 81.06
  4. Step 4: Simplify right side
    115.62x = 12,915.29
  5. Step 5: Solve for x
    x = 12,915.29/115.62
  6. Step 6: Final answer
    x = 111.70

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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.