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Finding the Fourth Proportional to 114.33, 157.86 and 81.57

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Solution

The fourth proportional to 114.33, 157.86 and 81.57 is: 112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.33 : 157.86 = 81.57 : x
  2. Step 2: Convert to fraction form
    114.33/157.86 = 81.57/x
  3. Step 3: Cross multiply
    114.33x = 157.86 × 81.57
  4. Step 4: Simplify right side
    114.33x = 12,876.64
  5. Step 5: Solve for x
    x = 12,876.64/114.33
  6. Step 6: Final answer
    x = 112.63

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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.