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Finding the Fourth Proportional to 124.98, 186.50 and 112.84

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Solution

The fourth proportional to 124.98, 186.50 and 112.84 is: 168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.98 : 186.50 = 112.84 : x
  2. Step 2: Convert to fraction form
    124.98/186.50 = 112.84/x
  3. Step 3: Cross multiply
    124.98x = 186.50 × 112.84
  4. Step 4: Simplify right side
    124.98x = 21,044.66
  5. Step 5: Solve for x
    x = 21,044.66/124.98
  6. Step 6: Final answer
    x = 168.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.