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Finding the Fourth Proportional to 112.84, 170.08 and 107.16

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Solution

The fourth proportional to 112.84, 170.08 and 107.16 is: 161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.84 : 170.08 = 107.16 : x
  2. Step 2: Convert to fraction form
    112.84/170.08 = 107.16/x
  3. Step 3: Cross multiply
    112.84x = 170.08 × 107.16
  4. Step 4: Simplify right side
    112.84x = 18,225.77
  5. Step 5: Solve for x
    x = 18,225.77/112.84
  6. Step 6: Final answer
    x = 161.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.