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Finding the Fourth Proportional to 124.49, 186.75 and 55.07

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Solution

The fourth proportional to 124.49, 186.75 and 55.07 is: 82.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.49 : 186.75 = 55.07 : x
  2. Step 2: Convert to fraction form
    124.49/186.75 = 55.07/x
  3. Step 3: Cross multiply
    124.49x = 186.75 × 55.07
  4. Step 4: Simplify right side
    124.49x = 10,283.39
  5. Step 5: Solve for x
    x = 10,283.39/124.49
  6. Step 6: Final answer
    x = 82.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.