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Finding the Fourth Proportional to 112.48, 154.10 and 108.16

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Solution

The fourth proportional to 112.48, 154.10 and 108.16 is: 148.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.48 : 154.10 = 108.16 : x
  2. Step 2: Convert to fraction form
    112.48/154.10 = 108.16/x
  3. Step 3: Cross multiply
    112.48x = 154.10 × 108.16
  4. Step 4: Simplify right side
    112.48x = 16,667.46
  5. Step 5: Solve for x
    x = 16,667.46/112.48
  6. Step 6: Final answer
    x = 148.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.