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Finding the Fourth Proportional to 124.99, 188.25 and 105.87

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Solution

The fourth proportional to 124.99, 188.25 and 105.87 is: 159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.99 : 188.25 = 105.87 : x
  2. Step 2: Convert to fraction form
    124.99/188.25 = 105.87/x
  3. Step 3: Cross multiply
    124.99x = 188.25 × 105.87
  4. Step 4: Simplify right side
    124.99x = 19,928.56
  5. Step 5: Solve for x
    x = 19,928.56/124.99
  6. Step 6: Final answer
    x = 159.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.