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Finding the Fourth Proportional to 110.51, 152.36 and 91.83

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Solution

The fourth proportional to 110.51, 152.36 and 91.83 is: 126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.51 : 152.36 = 91.83 : x
  2. Step 2: Convert to fraction form
    110.51/152.36 = 91.83/x
  3. Step 3: Cross multiply
    110.51x = 152.36 × 91.83
  4. Step 4: Simplify right side
    110.51x = 13,991.22
  5. Step 5: Solve for x
    x = 13,991.22/110.51
  6. Step 6: Final answer
    x = 126.61

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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.