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Finding the Fourth Proportional to 124.81, 185.01 and 122.88

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Solution

The fourth proportional to 124.81, 185.01 and 122.88 is: 182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.81 : 185.01 = 122.88 : x
  2. Step 2: Convert to fraction form
    124.81/185.01 = 122.88/x
  3. Step 3: Cross multiply
    124.81x = 185.01 × 122.88
  4. Step 4: Simplify right side
    124.81x = 22,733.10
  5. Step 5: Solve for x
    x = 22,733.10/124.81
  6. Step 6: Final answer
    x = 182.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.