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Finding the Fourth Proportional to 124.92, 172.44 and 81.32

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Solution

The fourth proportional to 124.92, 172.44 and 81.32 is: 112.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.92 : 172.44 = 81.32 : x
  2. Step 2: Convert to fraction form
    124.92/172.44 = 81.32/x
  3. Step 3: Cross multiply
    124.92x = 172.44 × 81.32
  4. Step 4: Simplify right side
    124.92x = 14,022.82
  5. Step 5: Solve for x
    x = 14,022.82/124.92
  6. Step 6: Final answer
    x = 112.25

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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.