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Finding the Fourth Proportional to 101.09, 151.06 and 76.22

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Solution

The fourth proportional to 101.09, 151.06 and 76.22 is: 113.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.09 : 151.06 = 76.22 : x
  2. Step 2: Convert to fraction form
    101.09/151.06 = 76.22/x
  3. Step 3: Cross multiply
    101.09x = 151.06 × 76.22
  4. Step 4: Simplify right side
    101.09x = 11,513.41
  5. Step 5: Solve for x
    x = 11,513.41/101.09
  6. Step 6: Final answer
    x = 113.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.