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Finding the Fourth Proportional to 122.16, 168.24 and 100.32

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Solution

The fourth proportional to 122.16, 168.24 and 100.32 is: 138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.16 : 168.24 = 100.32 : x
  2. Step 2: Convert to fraction form
    122.16/168.24 = 100.32/x
  3. Step 3: Cross multiply
    122.16x = 168.24 × 100.32
  4. Step 4: Simplify right side
    122.16x = 16,877.84
  5. Step 5: Solve for x
    x = 16,877.84/122.16
  6. Step 6: Final answer
    x = 138.16

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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.