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Finding the Fourth Proportional to 124.32, 172.64 and 120.88

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Solution

The fourth proportional to 124.32, 172.64 and 120.88 is: 167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.32 : 172.64 = 120.88 : x
  2. Step 2: Convert to fraction form
    124.32/172.64 = 120.88/x
  3. Step 3: Cross multiply
    124.32x = 172.64 × 120.88
  4. Step 4: Simplify right side
    124.32x = 20,868.72
  5. Step 5: Solve for x
    x = 20,868.72/124.32
  6. Step 6: Final answer
    x = 167.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.