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Finding the Fourth Proportional to 112.63, 155.41 and 71.19

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Solution

The fourth proportional to 112.63, 155.41 and 71.19 is: 98.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.63 : 155.41 = 71.19 : x
  2. Step 2: Convert to fraction form
    112.63/155.41 = 71.19/x
  3. Step 3: Cross multiply
    112.63x = 155.41 × 71.19
  4. Step 4: Simplify right side
    112.63x = 11,063.64
  5. Step 5: Solve for x
    x = 11,063.64/112.63
  6. Step 6: Final answer
    x = 98.23

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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.