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Finding the Fourth Proportional to 140.42, 192.98 and 124.79

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Solution

The fourth proportional to 140.42, 192.98 and 124.79 is: 171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.42 : 192.98 = 124.79 : x
  2. Step 2: Convert to fraction form
    140.42/192.98 = 124.79/x
  3. Step 3: Cross multiply
    140.42x = 192.98 × 124.79
  4. Step 4: Simplify right side
    140.42x = 24,080.39
  5. Step 5: Solve for x
    x = 24,080.39/140.42
  6. Step 6: Final answer
    x = 171.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.