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Finding the Fourth Proportional to 124.97, 172.56 and 108.40

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Solution

The fourth proportional to 124.97, 172.56 and 108.40 is: 149.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.97 : 172.56 = 108.40 : x
  2. Step 2: Convert to fraction form
    124.97/172.56 = 108.40/x
  3. Step 3: Cross multiply
    124.97x = 172.56 × 108.40
  4. Step 4: Simplify right side
    124.97x = 18,705.23
  5. Step 5: Solve for x
    x = 18,705.23/124.97
  6. Step 6: Final answer
    x = 149.68

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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.