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Finding the Fourth Proportional to 124.92, 187.73 and 73.57

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Solution

The fourth proportional to 124.92, 187.73 and 73.57 is: 110.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.92 : 187.73 = 73.57 : x
  2. Step 2: Convert to fraction form
    124.92/187.73 = 73.57/x
  3. Step 3: Cross multiply
    124.92x = 187.73 × 73.57
  4. Step 4: Simplify right side
    124.92x = 13,811.50
  5. Step 5: Solve for x
    x = 13,811.50/124.92
  6. Step 6: Final answer
    x = 110.56

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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.