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Finding the Fourth Proportional to 124.76, 172.02 and 98.48

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Solution

The fourth proportional to 124.76, 172.02 and 98.48 is: 135.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.76 : 172.02 = 98.48 : x
  2. Step 2: Convert to fraction form
    124.76/172.02 = 98.48/x
  3. Step 3: Cross multiply
    124.76x = 172.02 × 98.48
  4. Step 4: Simplify right side
    124.76x = 16,940.53
  5. Step 5: Solve for x
    x = 16,940.53/124.76
  6. Step 6: Final answer
    x = 135.78

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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.