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Finding the Fourth Proportional to 124.10, 185.34 and 112.76

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Solution

The fourth proportional to 124.10, 185.34 and 112.76 is: 168.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.10 : 185.34 = 112.76 : x
  2. Step 2: Convert to fraction form
    124.10/185.34 = 112.76/x
  3. Step 3: Cross multiply
    124.10x = 185.34 × 112.76
  4. Step 4: Simplify right side
    124.10x = 20,898.01
  5. Step 5: Solve for x
    x = 20,898.01/124.10
  6. Step 6: Final answer
    x = 168.40

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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.