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Finding the Fourth Proportional to 110.45, 152.57 and 86.19

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Solution

The fourth proportional to 110.45, 152.57 and 86.19 is: 119.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.45 : 152.57 = 86.19 : x
  2. Step 2: Convert to fraction form
    110.45/152.57 = 86.19/x
  3. Step 3: Cross multiply
    110.45x = 152.57 × 86.19
  4. Step 4: Simplify right side
    110.45x = 13,149.58
  5. Step 5: Solve for x
    x = 13,149.58/110.45
  6. Step 6: Final answer
    x = 119.06

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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.