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Finding the Fourth Proportional to 115.93, 159.91 and 81.07

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Solution

The fourth proportional to 115.93, 159.91 and 81.07 is: 111.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.93 : 159.91 = 81.07 : x
  2. Step 2: Convert to fraction form
    115.93/159.91 = 81.07/x
  3. Step 3: Cross multiply
    115.93x = 159.91 × 81.07
  4. Step 4: Simplify right side
    115.93x = 12,963.30
  5. Step 5: Solve for x
    x = 12,963.30/115.93
  6. Step 6: Final answer
    x = 111.82

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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.