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Finding the Fourth Proportional to 148.96, 205.76 and 124.60

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Solution

The fourth proportional to 148.96, 205.76 and 124.60 is: 172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.96 : 205.76 = 124.60 : x
  2. Step 2: Convert to fraction form
    148.96/205.76 = 124.60/x
  3. Step 3: Cross multiply
    148.96x = 205.76 × 124.60
  4. Step 4: Simplify right side
    148.96x = 25,637.70
  5. Step 5: Solve for x
    x = 25,637.70/148.96
  6. Step 6: Final answer
    x = 172.11

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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.